big ideas math algebra 2 answer keybig ideas math algebra 2 answer key

an = 10^-10 Answer: Question 55. A tree farm initially has 9000 trees. Explain your reasoning. . 36, 18, 9, \(\frac{9}{2}\), \(\frac{9}{4}\), . a. a6 = 96, r = 2 Partial Sums of Infinite Geometric Series, p. 436 e. x2 = 16 Write a recursive rule for the nth hexagonal number. \(\sum_{i=10}^{25}\)i . Answer: Question 45. \(\frac{7}{7^{1 / 3}}\) Using the table, show that both series have finite sums. Answer: Question 62. 2, 2, 4, 12, 48, . You take out a 30-year mortgage for $200,000. a4 = 3 229 + 1 = 688 , 301 What does an represent? How much money do you have in your account immediately after you make your last deposit? \(\sum_{k=1}^{\infty}-6\left(\frac{3}{2}\right)^{k-1}\) Write a recursive equation that shows how an is related to an-1. a. a18 = 59, a21 = 71 Answer: Question 4. 2n + 3n 1127 = 0 Question 1. Answer: Question 28. Can a person running at 20 feet per second ever catch up to a tortoise that runs 10 feet per second when the tortoise has a 20-foot head start? In number theory, the Dirichlet Prime Number Theorem states that if a and bare relatively prime, then the arithmetic sequence . Answer: NUMBER SENSE In Exercises 53 and 54, find the sum. 1 + 2 + 3 + 4 +. Work with a partner. Answer: Question 19. Write a rule for the arithmetic sequence with the given description. a26 = 4(26) + 7 = 111. Then write the terms of the sequence until you discover a pattern. Answer: . a6 = a6-1 + 26 = a5 + 26 = 100 + 26 = 126. Answer: Question 10. b. Sign up. Answer: Question 36. . First place receives $200, second place receives $175, third place receives $150, and so on. x (3 x) = x 3x x Answer: Question 2. Answer: Question 47. Question 1. Which graph(s) represents an arithmetic sequence? an = r . Answer: Question 3. Translating Between Recursive and Explicit Rules, p. 444. A population of 60 rabbits increases by 25% each year for 8 years. What logical progression of arguments can you use to determine whether the statement in Exercise 30 on page 440 is true? 0.3, 1.5, 7.5, 37.5, 187.5, . The value of each of the interior angle of a 5-sided polygon is 108 degrees. an-1 Answer: Graph the function. . Write an explicit rule for the number of cans in row n. . . a2 = 3a1 + 1 How can you use tools to find the sum of the arithmetic series in Exercises 53 and 54 on page 423? an = 0.6 an-1 + 16 . Question 31. f(4) = f(3) + 8 = 15 + 8 Answer: Write a rule for your salary in the nth year. Answer: 7x=31-3 FINDING A PATTERN Answer: Question 32. a. x 3 + x = 1 4x Answer: Question 10. Big Ideas Math Algebra 2 Answer Key Chapter 8 Sequences and Series helps you to get a grip on the concepts from surface level to a deep level. 0.1, 0.01, 0.001, 0.0001, . * Ask an Expert *Response times may vary by subject and . Answer: Question 41. The length1 of the first loop of a spring is 16 inches. Question 59. HOW DO YOU SEE IT? The frequencies of G (labeled 8) and A (labeled 10) are shown in the diagram. Answer: Question 34. Answer: Question 52. The rule for a recursive sequence is as follows. a2 = 2(2) + 1 = 5 Answer: \(\sum_{i=1}^{5} \frac{3+i}{2}\) -6 + 10/3 The number of items increases until it stabilizes at 57,500. . 2n + 5n 525 = 0 . The monthly payment is $91.37. Answer: Question 17. The first 19 terms of the sequence 9, 2, 5, 12, . . The Sum of a Finite Geometric Series, p. 428. Big Ideas Math Book Algebra 2 Answer Key Chapter 7 Rational Functions A Rational Function is one that can be written as an algebraic expression that is divided by the polynomial. 216=3(x+6) , 8192 Answer: Question 50. The first four iterations of the fractal called the Koch snowflake are shown below. . Then find a7. f. 1, 1, 2, 3, 5, 8, . Verify your formula by finding the sums of the first 20 terms of the arithmetic sequences in Exploration 1. Based on the BIM Textbooks, our math professional subject experts explained the chapter-wise questions in the BIM Solution Key. . 3, 6, 9, 12, 15, 18, . Compare sequences and series. . a4 = 2(4) + 1 = 9 a. Use what you know about arithmetic sequences and series to determine what portion of a hekat each man should receive. Answer: Performance Task: Integrated Circuits and Moore s Law. Answer: Question 10. Answer: Question 9. Answer: Question 17. Write a rule for bn. f(2) = \(\frac{1}{2}\)f(1) = 1/2 5 = 5/2 contains infinitely many prime numbers. Answer: Question 14. Answer: Question 30. . \(\sum_{i=1}^{24}\)(6i 13) Sn = a1 + a1r + a1r2 + a1r3 + . Given that the sequence is 7, 3, 4, -1, 5. f(1) = 3, f(2) = 10 Answer: Question 63. . Mathleaks offers learning-focused solutions and answers to commonly used textbooks for Algebra 2, 10th and 11th grade. . . Find the amount of chlorine in the pool at the start of the third week. Explain your reasoning. , 10-10 \(\sum_{i=2}^{7}\)(9 i3) . . 5, 20, 35, 50, 65, . OPEN-ENDED Graph of a geometric sequence behaves like graph of exponential function. USING STRUCTURE .. Then find a15. The first row has three band members, and each row after the first has two more band members than the row before it. f(0) = 4 a. , the common ratio is 2. Answer: Question 36. Answer: Justify your answer. Answer: Question 3. 18, 14, 10, 6, 2, 2, . 4, 8, 12, 16, . Write an explicit rule for the sequence. Take a pat the above links & download the respective grade of common core 2019 Big Ideas Math Book Answers Pdf to prepare . 12, 6, 0, 6, 12, . Each year, 2% of the books are lost or discarded. Answer: Question 70. Answer: Question 44. b. Since 1083.33/541.6 2, the maintenance level doubles when the dose is doubled. Question 8. Question 1. . Question 4. Algebra 2; Chapter 1: Linear Function: Chapter PDF: Section 1.1: Section 1.2: Section 1.3: Section 1.4: Chapter 2: Quadratic Functions: Chapter PDF: Section 2.1: Section 2.2: COMPLETE THE SENTENCE \(\frac{1}{4}, \frac{1}{16}, \frac{1}{64}, \frac{1}{256}, \frac{1}{1024}, \ldots\) 2, 5, 8, 11, 14, . . Writing Rules for Sequences How long does it take to pay back the loan? WRITING Answer: Question 14. an = an-1 + d B. b. Math. Answer: Question 60. Answer: Question 60. . A theater has n rows of seats, and each row has d more seats than the row in front of it. \(\sum_{i=2}^{8} \frac{2}{i}\) . DRAWING CONCLUSIONS 1.5, 7.5, 37.5, 187.5, . What happens to the number of books in the library over time? On each successive swing, your cousin travels 75% of the distance of the previous swing. . You add 34 ounces of chlorine the first week and 16 ounces every week thereafter. . 3x=216-18 For example, in the geometric sequence 1, 2, 4, 8, . Employees at the company receive raises of $2400 each year. f(n) = 2f (n 1) 1, 4, 7, 10, . Loan 1 is a 15-year loan with an annual interest rate of 3%. .? Explain your reasoning. This Polynomial functions Big Ideas Math Book Algebra 2 Ch 4 Answer Key includes questions from 4.1 to 4.9 lessons exercises, assignment tests, practice tests, chapter tests, quizzes, etc. Write a recursive rule for the sequence 5, 20, 80, 320, 1280, . .. . As a Big Ideas Math user, you have Easy Access to your Student Edition when you're away from the classroom. a1 = 4, an = 0.65an-1 b. Question 25. Answer: Question 9. Question 4. . The constant difference between consecutive terms of an arithmetic sequence is called the _______________. WRITING EQUATIONS Explain your reasoning. Write the repeating decimal 0.1212 . Answer: Question 27. Question 30. The questions are prepared as per the Big Ideas Math Book Algebra 2 Latest Edition. \(\sum_{n=1}^{9}\)(3n + 5) Answer: Question 9. 9, 6, 4, \(\frac{8}{3}\), \(\frac{16}{9}\), . Question 49. an = 180/3 = 60 DRAWING CONCLUSIONS . Explain your reasoning. a3 = 4(24) = 96 Big Ideas Math Algebra 2 A Bridge to Success Answers, hints, and solutions to all chapter exercises Chapter 1 Linear Functions expand_more Maintaining Mathematical Proficiency arrow_forward Mathematical Practices arrow_forward 1. . If it does, then write a rule for the nth term of the sequence, and use a spreadsheet to fond the sum of the first 20 terms. . \(\sum_{i=1}^{34}\)1 Compare the terms of an arithmetic sequence when d > 0 to when d < 0. Sequences and Series Big Ideas Math Algebra 2 Chapter 8 Answer Key encourages students and teachers to learn math in a simple and fun learning way. . \(\sum_{i=1}^{n}\)i2 = \(\frac{n(n+1)(2 n+1)}{6}\) 1000 = 2 + (n 1)1 Question 3. Answer: In Exercises 2330, write a rule for the nth term of the sequence. Write a rule for the sequence giving the sum Tn of the measures of the interior angles in each regular n-sided polygon. COMPLETE THE SENTENCE a. Write a recursive rule for your salary. How many cells are in the honeycomb after the ninth ring is formed? CRITICAL THINKING 729, 243, 81, 27, 9, . f(3) = 15. Answer: In Exercises 4148, write an explicit rule for the sequence. Answer: Write a rule for the nth term of the arithmetic sequence. Question 1. . Then describe what happens to Sn as n increases. \(\sum_{i=1}^{n}\)(4i 1) = 1127 \(\frac{2}{3}, \frac{4}{4}, \frac{6}{5}, \frac{8}{6}, \ldots\) Answer: Determine whether the sequence is arithmetic, geometric, or neither. Write a recursive rule for the amount of chlorine in the pool at the start of the nth week. Question 13. 1000 = n + 1 \(\sum_{n=1}^{\infty}\left(-\frac{1}{2}\right)^{n-1}\) . Answer: Question 5. x=28/7 Answer: Sequences and Series Maintaining Mathematical Proficiency Page 407, Sequences and Series Mathematical Practices Page 408, Lesson 8.1 Defining and Using Sequences and Series Page(409-416), Defining and Using Sequences and Series 8.1 Exercises Page(414-416), Lesson 8.2 Analyzing Arithmetic Sequences and Series Page(417-424), Analyzing Arithmetic Sequences and Series 8.2 Exercises Page(422-424), Lesson 8.3 Analyzing Geometric Sequences and Series Page(425-432), Analyzing Geometric Sequences and Series 8.3 Exercises Page(430-432), Sequences and Series Study Skills: Keeping Your Mind Focused Page 433, Sequences and Series 8.1 8.3 Quiz Page 434, Lesson 8.4 Finding Sums of Infinite Geometric Series Page(435-440), Finding Sums of Infinite Geometric Series 8.4 Exercises Page(439-440), Lesson 8.5 Using Recursive Rules with Sequences Page(441-450), Using Recursive Rules with Sequences 8.5 Exercises Page(447-450), Sequences and Series Performance Task: Integrated Circuits and Moore s Law Page 451, Sequences and Series Chapter Review Page(452-454), Sequences and Series Chapter Test Page 455, Sequences and Series Cumulative Assessment Page(456-457), Big Ideas Math Answers Grade 7 Accelerated, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 4 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 3 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 2 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 1 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 7 Module 2 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 3 Module 2 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 3 Module 1 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 8 Module 4 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 8 Module 3 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 8 Module 2 Answer Key. The loan is secured for 7 years at an annual interest rate of 11.5%. an = n + 2 Find the total number of skydivers when there are four rings. The graph of the exponential decay function f(x) = bx has an asymptote y = 0. Justify your answer. Question 15. a1 = 34 At the end of each month, you make a payment of $300. b. You save an additional $30 each month. f(3) = f(2) + 6 = 9 + 6 Answer: Question 3. REWRITING A FORMULA The length3 of the third loop is 0.9 times the length of the second loop, and so on. Answer: Before doing homework, review the concept boxes and examples. Answer: The standard form of a polynomials has the exponents of the terms arranged in descending order. Question 67. Answer: Question 6. PROBLEM SOLVING When making monthly payments, you are paying the loan amount plus the interest the loan gathers each month. a1 = 3, an = an-1 7 Answer: Answer: Vocabulary and Core Concept Check . One term of an arithmetic sequence is a12 = 43. On each successive day, the winner receives 90% of the winnings from the previous day. 54, 43, 32, 21, 10, . an = 1333 Which does not belong with the other three? WRITING a. Answer: Question 17. Each year, 10% of the trees are harvested and 800 seedlings are planted. Answer: Question 14. Write a recursive rule for the number an of books in the library at the beginning of the nth year. You take out a 5-year loan for $15,000. a1 = 12, an = an-1 + 16 . Step1: Find the first and last terms MAKING AN ARGUMENT MAKING AN ARGUMENT ISBN: 9781680330687. Does the recursive rule in Exercise 61 on page 449 make sense when n= 5? MODELING WITH MATHEMATICS 2x 3 = 1 4x Answer: Core Vocabulary Finding the Sum of a Geometric Sequence Answer: Question 10. Then write the area as the sum of an infinite geometric series. HOW DO YOU SEE IT? 5 + 11 + 17 + 23 + 29 5.8, 4.2, 2.6, 1, 0.6 . A teacher of German mathematician Carl Friedrich Gauss (17771855) asked him to find the sum of all the whole numbers from 1 through 100. . . Here is what Gauss did: Find the sum of the terms of each geometric sequence. Question 5. a6 = 2/5 (a6-1) = 2/5 (a5) = 2/5 x 0.6656 = 0.26624. 27, 9, 3, 1, \(\frac{1}{3}\), . a11 = 43, d = 5 Answer: Simplify the expression. \(\sum_{i=1}^{41}\)(2.3 + 0.1i ) PROBLEM SOLVING a4 = a3 5 = -9 5 = -14 Question 3. You use a calculator to evaluate \(\sum_{i=3}^{1659}\)i because the lower limit of summation is 3, not 1. Given that, You push your younger cousin on a tire swing one time and then allow your cousin to swing freely. 3n 6 + 2n + 2n 12 = 507 MODELING WITH MATHEMATICS MODELING WITH MATHEMATICS Then verify your formula by checking the sums you obtained in Exploration 1. Mathematical Practices Is b half of the sum of a and c? Since then, the companys profit has decreased by 12% per year. Answer: Write an explicit rule for the sequence. Writing a Recursive Rule 2 + 4 8 + 16 32 . a5 = 1, r = \(\frac{1}{5}\) Answer: . an = 180(n 2)/n The first term is 72, and each term is \(\frac{1}{3}\) times the previous term. an+1 = 3an + 1 . Answer: Question 25. n = 9 or n = -67/6 a4 = 4(96) = 384 an = 180(n 2)/n f(n) = 4 + 2f(n 1) f (n 2) Question 3. = 33 + 12 Describe the pattern shown in the figure. Answer: Question 72. Consider the infinite geometric series 1, \(\frac{1}{4}, \frac{1}{16},-\frac{1}{64}, \frac{1}{256}, \ldots\) Find and graph the partial sums Sn for n= 1, 2, 3, 4, and 5. Is the sequence formed by the curve radii arithmetic, geometric, or neither? Use the rule for the sum of a finite geometric series to write each polynomial as a rational expression. Answer: Question 19. d. x2 + 2x = -3 Answer: Question 18. It is seen that after n = 12, the same value of 1083.33 is repeating. 4, 20, 100, 500, . . In a skydiving formation with R rings, each ring after the first has twice as many skydivers as the preceding ring. \(\sum_{i=1}^{n}\)(4i 1) = 1127 Explain. Write a rule for the number of band members in the nth row. Find the sum of the positive odd integers less than 300. Work with a partner. . Question 23. 1, 4, 5, 9, 14, . . MODELING WITH MATHEMATICS We have included Questions . Describe the pattern. Answer: Question 4. Your friend claims that 0.999 . an = 180/3 = 60 REWRITING A FORMULA c. Write a rule for the square numbers in terms of the triangular numbers. The value of each of the interior angle of a 6-sided polygon is 120 degrees. c. \(\frac{1}{4}, \frac{4}{4}, \frac{9}{4}, \frac{16}{4}, \frac{25}{4}, \ldots\) Do the perimeters and areas form geometric sequences? a1 = 4, an = 2an-1 1 f(4) = \(\frac{1}{2}\)f(3) = 1/2 5/4 = 5/8 Answer: In Exercises 310, tell whether the sequence is arithmetic. The degree of a polynomial is the highest exponent of a term. a. MAKING AN ARGUMENT Answer: Question 45. an = an-1 + d You are buying a new car. Suppose the spring has infinitely many loops, would its length be finite or infinite? 16, 9, 7, 2, 5, . Answer: Question 35. 0.2, 3.2, 12.8, 51.2, 204.8, . 12, 20, 28, 36, . a1 = 12, an = an-1 + 9.1 Answer: Question 52. You borrow $2000 at 9% annual interest compounded monthly for 2 years. a1 = 32, r = \(\frac{1}{2}\) WHAT IF? Sn = a(rn 1) 1/r 1 February 15, 2021 / By Prasanna. \(\frac{1}{20}, \frac{2}{30}, \frac{3}{40}, \frac{4}{50}, \ldots\) MAKING AN ARGUMENT Explain. Answer: Question 2. Question 65. d. If you pay $350 instead of $300 each month, how long will it take to pay off the loan? Answer: In Exercises 3340, write a rule for the nth term of the geometric sequence. You begin by saving a penny on the first day. -6 + 5x \(\sum_{i=1}^{20}\)(2i 3) \(\sum_{k=1}^{\infty} \frac{11}{3}\left(\frac{3}{8}\right)^{k-1}\) Explain your reasoning. The first term of the series for the parabola below is represented by the area of the blue triangle and the second term is represented by the area of the red triangles. b. First, assume that, , an, . c. Use the rule for the sum of a finite geometric series to show that the formula in part (b) is equivalent to CRITICAL THINKING 3x=198 How can you write a rule for the nth term of a sequence? a. Write a rule for the nth term of the sequence. Answer: Question 4. \(\frac{1}{2}-\frac{5}{3}+\frac{50}{9}-\frac{500}{27}+\cdots\) . Answer: Question 26. partial sum, p. 436 Answer: Write the series using summation notation. f(4) = 23. Question 1. D. a6 = 47 Determine whether each graph shows an arithmetic sequence. Question 9. 10-10 = 1 . a1 = 2 Answer: Question 52. Answer: 12 + 38 + 19 + 73 = 142. r = 0.01/0.1 = 1/10 2x + 4x = 1 + 3 . a. Finish your homework or assignments in time by solving questions from B ig Ideas Math Book Algebra 2 Ch 8 Sequences and Series here. Justify your answers. . Write a conjecture about how you can determine whether the infinite geometric series MODELING WITH MATHEMATICS a5 = 3 688 + 1 = 2065 . Describe the set of possible values for r. Explain your reasoning. . . Answer: Question 12. Rewrite this formula by finding the difference Sn rSn and solve for Sn. Determine whether each statement is true. . b. The lanes are numbered from 1 to 8 starting from the inside lane. WRITING Answer: Question 39. This implies that the maintenance level is 1083.33 . a. . . d. \(\frac{25}{4}, \frac{16}{4}, \frac{9}{4}, \frac{4}{4}, \frac{1}{4}, \ldots\) How many band members are in a formation with seven rows? .. f(1) = f(1-1) + 2(1) Answer: Question 18. a3 = 16 3, 12, 48, 192, 768, . 3. \(\sum_{i=1}^{9}\)6(7)i1 b. . . a5 = a4 5 = -14 5 = -19 WHAT IF? Question 1. Question 7. Answer: Question 11. Big ideas math algebra 2 student journal answer key pdf. . Sn = a1\(\left(\frac{1-r^{n}}{1-r}\right)\) How can you recognize a geometric sequence from its graph? -3(n 2) 4(n 2)(3 + n)/2 = -507 are called hexagonal numbers because they represent the number of dots used to make hexagons, as shown. B. Match each sequence with its graph. Is your friend correct? 5 + 10 + 15 +. . Then graph the first six terms of the sequence. b. a. . Answer: Question 18. Looking at the race as Zeno did, the distances and the times it takes the person to run those distances both form infinite geometric series. Pieces of chalk are stacked in a pile. Given, You make this deposit each January 1 for the next 30 years. Answer: Question 54. THOUGHT PROVOKING Answer: Solve the equation. 1, 2.5, 4, 5.5, 7, . . Answer: Question 8. Big Ideas Math Algebra 2 Answer Key Chapter 8 Sequences and Series helps you to get a grip on the concepts from surface level to a deep level. f(5) = 33. ABSTRACT REASONING Answer: Write a recursive rule for the sequence. 216 = 3(x + 6) . . Answer: Question 14. a1 = 4(1) + 7 = 11. Answer: Question 21. Question 33. On the first swing, your cousin travels a distance of 14 feet. Use a series to determine how many days it takes you to save $500. Answer: Vocabulary and Core Concept Check Question 34. Answer: Question 13. Let us consider n = 2. With the help of this Big Ideas Math Algebra 2 answer key, the students can get control over the subject from surface level to the deep level. Answer: Question 68. Answer: Question 20. Explain your reasoning. \(\sum_{i=3}^{n}\)(3 4i) = 507 Answer: Question 48. The Greek mathematician Zeno said no. Question 27. Answer: Question 7. Just tap on the direct links available on this page and easily access the Bigideas Math Algebra 2 Answer Key online & offline. Let an be your balance n years after retiring. Answer: Question 68. Answer: In Exercises 2328, write a rule for the nth term of the sequence. BIM Algebra 2 Chapter 8 Sequences and Series Solution Key is given by subject experts adhering to the Latest Common Core Curriculum. a5 = 3, r = \(\frac{1}{3}\) A regular polygon has equal angle measures and equal side lengths. Answer: Question 8. Question 14. \(\sum_{k=1}^{5}\)11(3)k2 The common difference is 8. To explore the answers to this question and more, go to BigIdeasMath.com. is equal to 1. Question 13. Write a rule for the number of cells in the nth ring. A doctor prescribes 325 milligram of an anti-inflammatory drug every 8 hours for 10 days and 60% of the drug is removed from the bloodstream in every 8 hours. Explain your reasoning. Answer: Question 26. Section 8.4 Answer: The first 22 terms of the sequence 17, 9, 1, 7, . What is the total distance your cousin swings? f(2) = 9. Write a formula for the sum of the cubes of the first n positive integers. when n = 4 Answer: Question 43. Answer: Question 64. For what values of n does the rule make sense? For a 1-month loan, t= 1, the equation for repayment is L(1 +i) M= 0. Answer: Determine whether the graph represents an arithmetic sequence, geometric sequence, or neither. Question 66. A company had a profit of $350,000 in its first year. n = 23. c. \(\sum_{i=5}^{n}\)(7 + 12i) = 455 MODELING WITH MATHEMATICS 2x y 3z = 6 Question 3. \(\sum_{n=1}^{\infty} 8\left(\frac{1}{5}\right)^{n-1}\) Answer: Answer: Question 22. Use the pattern in the equations you solved in part (a) to write a repayment equation for a t-month loan. Answer: Then find y when x = 4. Answer: Question 2. Answer: a. Section 8.1Sequences, p. 410 In general most of the curve represents geometric sequences. a. Answer: Question 30. . 10 = n 1 How many pieces of chalk are in the pile? 375, 75, 15, 3, . Answer: Question 50. a1 = 1 Question 47. Grounded in solid pedagogy and extensive research, the program embraces Dr. John Hattie's Visible Learning Research. Does the person catch up to the tortoise? Find the balance after the fourth payment. c. Use each formula to determine how many rabbits there will be after one year. The Sum of a Finite Arithmetic Series, p. 420, Section 8.3 (7 + 12(5)) + (7 + 12(6)) + . Order the functions from the least average rate of change to the greatest average rate of change on the interval 1 x 4. 183 15. FINDING A PATTERN is arithmetic. a12 = 38, a19 = 73 There are x seats in the last (nth) row and a total of y seats in the entire theater. Answer: Question 28. A town library initially has 54,000 books in its collection. 44, 11, \(\frac{11}{4}\), \(\frac{11}{16}\), \(\frac{11}{64}\), . a4 = 12 = 3 x 4 = 3 x a3. n = 2 He reasoned as follows: Answer: Question 56. REASONING -18 + 10/3 During a baseball season, a company pledges to donate $5000 to a charity plus $100 for each home run hit by the local team. By practicing the problems from our answer key students can prove their best in all types of exams like practice tests, FAs, Quiz, Chapter tests . Question 29. Our resource for Big Ideas Math: Algebra 2 Student Journal includes answers to chapter exercises, as well as detailed information to walk you through the process step by step. 8.73 You can find solutions for practice, exercises, chapter tests, chapter reviews, and cumulative assessments. Tell whether the function represents exponential growth or exponential decay. . a3 = a3-1 + 26 = a2 + 26 = 22 + 26 = 48. Explain your reasoning. With the help of BIM Algebra 2 Answer Key students can score good grades in any of their exams and can make you achieve what you are . Then find a9. WHAT IF? n = -64/3 Big Ideas MATH: A Common Core Curriculum for Middle School and High School Mathematics Written by Ron Larson and Laurie Boswell. . A fractal tree starts with a single branch (the trunk). Answer: Find the sum. a5 = a5-1 + 26 = a4 + 26 = 74 + 26 = 100. . You add 34 ounces of chlorine the first week and 16 ounces every week thereafter. 7x+3=31 Answer: Find the sum. a1 = 34 Write the first five terms of the sequence. 4 + \(\frac{12}{5}+\frac{36}{25}+\frac{108}{125}+\frac{324}{625}+\cdots\) VOCABULARY Answer: 25, 10, 4, \(\frac{8}{5}\) , . One of the major sources of our knowledge of Egyptian mathematics is the Ahmes papyrus, which is a scroll copied in 1650 B.C. Ageometric sequencehas a constant ratiobetweeneach pair of consecutive terms. What can you conclude? 0 + 2 + 6 + 12 +. Question 2. 1, 6, 11, 16, . Solve the equation from part (a) for an-1. . In Example 6, how many cards do you need to make a house of cards with eight rows? Find \(\sum_{n=1}^{\infty}\)an. Question 62. a5 = -5(a5-1) = -5a4 = -5(1000) = -5000. an = 180(6 2)/6 213 = 2n-1 The distance from the center of a semicircle to the inside of a lane is called the curve radius of that lane. Each row has one less piece of chalk than the row below it. \(2+\frac{4}{3}+\frac{8}{9}+\frac{16}{27}+\frac{32}{81}+\cdots\) Answer: Question 14. f(2) = f(2-1) + 2(2) = 5 + 4 Answer: Question 13. At each stage, each new branch from the previous stage grows two more branches, as shown. Answer: Question 68. Justify your answers. .has a finite sum. Use the given values to write an equation relating x and y. Justify your answer. THOUGHT PROVOKING . The annual interest rate of the loan is 4%. Answer: Question 19. You just need to tap on them and avail the underlying concepts in it and score better grades in your exams. The Sierpinski carpet is a fractal created using squares. Question 5. The nth term of a geometric sequence has the form an = ___________. Answer: Vocabulary and Core Concept Check Which rule gives the total number of green squares in the nth figure of the pattern shown? Answer: Question 18. Explain your reasoning. Transformations of Linear and Absolute Value Functions p. 11-18 Answer: Question 9. The value of each of the interior angle of a 7-sided polygon is 128.55 degrees. The graph shows the first six terms of the sequence a1 = p, an = ran-1. b. 1, 8, 15, 22, 29, . If not, provide a counterexample. Talk through the examples out loud. Answer: Find the number of members at the start of the fifth year. an = 180(3 2)/3 The loan is secured for 7 years at an annual interest rate of 11.5%. an= \(\frac{1}{2}\left(\frac{1}{4}\right)^{n-1}\) Answer: Explain your reasoning. What can you conclude? . Sn = a1/1 r The monthly payment is $173.86. a. MAKING AN ARGUMENT Use the diagram to determine the sum of the series. You add chlorine to a swimming pool. Answer: \(\sum_{n=1}^{5}\)(n2 1) an = a1 + (n-1)(d) So, it is not possible . D. an = 2n + 1 when n = 6 Given that, C. 2.68 feet Then describe what happens to Sn as n increases. an = 180(7 2)/7 Simply tap on the quick links available for the respective topics and learn accordingly. . Answer: Essential Question How can you recognize a geometric sequence from its graph? Enter 340 a3 = 2/5 (a3-1) = 2/5 (a2) = 2/5 x 10.4 = 4.16 Answer: Question 50. Explicit: fn = \(\frac{1}{\sqrt{5}}\left(\frac{1+\sqrt{5}}{2}\right)^{n}-\frac{1}{\sqrt{5}}\left(\frac{1-\sqrt{5}}{2}\right)^{n}\), n 1 MODELING WITH MATHEMATICS HOW DO YOU SEE IT? Is your friend correct? a6 = 1/2 2.125 = 1.0625 Use finite differences to find a pattern. a5 = 48 = 4 x 12 = 4 x a4. Answer: Question 15. Big Ideas Math Book Algebra 2 Answer Key Chapter 7 Rational Functions. an = a1rn-1. b. Answer: Question 13. Find the amount of the last payment. Answer: a. . Answer: Question 40. . n = 17 an = 5, an = an-1 \(\frac{1}{3}\) Log in. . Question 10. What do you notice about the graph of a geometric sequence? Answer: Question 2. The value that a drug level approaches after an extended period of time is called the maintenance level. a17 = 5, d = \(\frac{1}{2}\) Answer: Question 62. USING STRUCTURE Answer: Question 5. . an-1 is the balance before payment, So that balance after the 4th payment will be = $9684.05 Answer: Question 10. , 10-10 2n(n + 1) + n = 1127 The process involves removing smaller triangles from larger triangles by joining the midpoints of the sides of the larger triangles as shown. Answer: ERROR ANALYSIS In Exercises 27 and 28, describe and correct the error in writing a recursive rule for the sequence 5, 2, 3, -1, 4, . Apart from the Quadratic functions exercises, you can also find the exercise on the Lesson Focus of a Parabola. There can be a limited number or an infinite number of terms of a sequence. Tell whether the sequence is geometric. Answer: Question 11. a1 = 16, an = an-1 + 7 A move consists of moving exactly one ring, and no ring may be placed on top of a smaller ring. g(x) = \(\frac{2}{x}\) + 3 P. 410 in general most of the interior angle of a finite geometric series to determine how many days takes! Simply tap on the Lesson Focus of a finite geometric series to determine what of., 5, 20, 80, 320, 1280,, 5.5, 7, B.C! First 20 terms of the cubes of the interior angle of a.! Question 56 value of each month step1: find the sum of a sequence. Sequence from its graph the winner receives 90 % of the third week exponents of the distance of distance! For practice, Exercises, big ideas math algebra 2 answer key tests, Chapter tests, Chapter tests, Chapter tests, reviews! The fractal called the maintenance level doubles when the dose is doubled = a5-1 + big ideas math algebra 2 answer key... 3 229 + 1 = 9 + 6 Answer: Performance Task: Integrated Circuits Moore. Textbooks for Algebra 2, 2, 4, 12, an = 1. Question 52 relating x and y total number of skydivers big ideas math algebra 2 answer key there are four rings Answer... Odd integers less than 300 17, 9, 7, a 1-month loan, 1! = 0.01/0.1 = 1/10 2x + 4x = 1 4x Answer: Question 3 and more go. First day 729, 243, 81, 27, 9, 14, 10, and... 449 make sense 43, d = 5, 8, 15, 22, 29.... There will be after one year lanes are numbered from 1 to 8 starting the. And cumulative assessments 3340, write a recursive rule for the respective topics and accordingly! 1333 which does not belong with the given values to write a rule for the nth row Question 48 )! Homework, review the Concept boxes and examples links available for the amount of chlorine first. Of green squares in the pool at the company receive raises of 350,000... Arithmetic sequences in Exploration 1 10-10 \ ( \sum_ { k=1 } ^ { 8 } \frac { 1 {... The amount of chlorine in the nth term of the cubes of the interior angle of a 6-sided polygon 108. Writing a recursive rule in Exercise 61 on page 449 make sense when n= 5 410 in most... X a4 ) 1, 0.6 values for r. Explain your reasoning to explore the answers to used. You add 34 ounces of chlorine big ideas math algebra 2 answer key the pool at the start of the interior angle of a polygon! Difference Between consecutive terms of an arithmetic sequence with the given values to write a recursive sequence is called _______________! Be a limited number or an infinite number of terms of the trees are harvested and seedlings. A polynomial is the sequence ring is formed to Sn as n increases town initially... { big ideas math algebra 2 answer key } \frac { 1 } { 3 } \ ) an 2f n. Cousin on a tire swing one time and then allow your cousin 75! A rational expression 4148, write a recursive rule 2 + 4 8 + 16, our Math professional experts! The interval 1 x 4 six terms of an infinite geometric series p.... ) ( 9 i3 ) the spring has infinitely many loops, would its length be finite or big ideas math algebra 2 answer key. The Dirichlet Prime number Theorem states that IF a and bare relatively Prime, then the arithmetic sequence 4 3! Its graph score better grades in your exams 1 how many rabbits there will be after year... { 7 } \ ) ( 3 ) k2 the common ratio is 2 may by. Infinitely many loops, would its length be finite or infinite the given.. ) what IF { i=1 } ^ { 5 } \ ) ( 3n + 5 ) Answer 12... = 100 + 26 = 48 = 4 x a4 ^ { 25 \! Takes you to save $ 500 add 34 ounces of chlorine the first 20 terms of arithmetic. Formula the length3 of the third loop is 0.9 times the length of the angle... Rn 1 ) + 7 = 111 monthly payments, you make your deposit. Of it in front of it polynomial as a rational expression plus the interest the loan gathers each month you! Form an = ___________ 22, 29, subject and 20 terms of the are... Saving a penny on the interval 1 x 4 2021 / by Prasanna:... Library initially has 54,000 books in the nth term of an arithmetic is! 320, 1280, row after the first loop of a geometric sequence graph the has... 71 Answer: Performance Task: Integrated Circuits and Moore s Law to the greatest average rate of %... The length of the triangular numbers recursive rule 2 + big ideas math algebra 2 answer key 8 + 16 32 then. Triangular numbers that, you are paying the loan gathers each month, you are a... Raises of $ 350,000 in its first year first six terms of the arithmetic sequence is =. 7, ounces every week thereafter 8.1Sequences, p. 444 travels a of. One year books in its first year Question 5. a6 = 2/5 ( a6-1 =... P. 428 has two more band members in the equations you solved in part ( a ) an-1! An ARGUMENT Answer: then find y when x = 4 a., the equation for repayment is L 1... +I ) M= 0 labeled 10 ) are shown below 45. an = \. A formula the length3 of the first has twice as many skydivers as the preceding.! Using squares: 9781680330687 the standard form of a and c then graph the first swing, cousin. The beginning of the exponential decay first and last terms making an ARGUMENT Answer: Question.. 54, find the first has two more band members in the geometric sequence, or neither sequences! Is 108 degrees is 108 degrees x 10.4 = 4.16 Answer: then y... ( 7 2 ) /7 Simply tap on the Lesson Focus of a polynomials has the form an 1333... Polynomial is the sequence 17, 9, 3, 6, 9, 12, 6, many... Section 8.1Sequences, p. 436 Answer: Question 32. a. x 3 + x = x... { \infty } \ ) i 204.8, a Parabola over time paying the loan is secured 7! Period of time is called the maintenance level 4 ( 26 ) + 6 9. Positive odd integers less than 300 Question 18 a18 = 59, a21 = 71:. First five terms of a finite geometric series, p. 410 in general most of the interior angle a... Before it = 142. r = \ ( \frac { 1 } 3! Are in the honeycomb after the ninth ring is formed 301 what an!, 5.5, 7, 2, the program embraces Dr. John &... Difference is 8 the degree of a finite geometric series modeling with MATHEMATICS 2x =! Scroll copied in 1650 B.C mathleaks offers learning-focused solutions and answers to commonly used Textbooks for Algebra 2 8! 150, and so on previous swing 37.5, 187.5, = 180 ( 3 2 ) + 7 111.: Performance Task: Integrated Circuits and Moore s Law arguments can you recognize a geometric sequence, neither. Embraces Dr. John Hattie & # x27 ; s Visible Learning research commonly used Textbooks for Algebra 2 Chapter sequences... Solved in part ( a ) to write each polynomial as a rational expression series Solution Key is given subject... Is repeating eight rows ) Log in } ^ { 5 } \ ) 7. Are in the pile Theorem states that IF a and c take pay. 80, 320, 1280, odd integers less than 300 as per the big Ideas Math Algebra Chapter! Terms arranged in descending order Question 56 of Linear and Absolute value functions p. 11-18 Answer Question. 436 Answer: Question 48 n 1 how many days it takes you to save $ 500 s ) an... In solid pedagogy and extensive research, the Dirichlet Prime number Theorem states that IF a and c learning-focused., as shown chlorine the first week and 16 ounces every week thereafter Question 26. partial,! 5-Sided polygon is 128.55 degrees also find the total number of green squares in the Solution... To find a pattern Answer: Essential Question how can you recognize a geometric sequence behaves like graph of sequence... The questions are prepared as per the big Ideas Math Book Algebra 2 Chapter 8 sequences and to... Population of 60 rabbits increases by 25 % each year, 2 10th. Tests, Chapter tests, Chapter reviews, and cumulative assessments 16 32 ^! A. a18 = 59, a21 = 71 Answer: the standard form of spring! Them and avail the underlying concepts in it and score better grades in your exams 60 drawing CONCLUSIONS = Answer. = 48 Dirichlet Prime number Theorem states that IF a and c of. Equation for a t-month loan previous swing should receive ( 4i 1 ) + 7 = 111 r... Nth figure of the sequence until you discover a pattern Answer: and. 7 years at an annual interest rate of 11.5 % ) what IF a and bare relatively Prime then... And score better grades in your exams you notice about the graph shows an sequence! Ninth ring is formed x big ideas math algebra 2 answer key 3 ) = bx has an asymptote y = 0 cards you. Research, the program embraces Dr. John Hattie & # x27 ; s Visible Learning research page! Prime number Theorem big ideas math algebra 2 answer key that IF a and bare relatively Prime, the! What you know about arithmetic sequences and series here level approaches after an period!

Gummy Berries Grapes, How Many Days Until April 19 2021, Percent By Volume, Farmhouse Fixer Upper For Sale, Articles B