HOW DO YOU SEE IT? Ask a question and get an expertly curated answer in as fast as 30 minutes. Question 22. Find the value of n. Question 61. You sprain your ankle and your doctor prescribes 325 milligrams of an anti-in ammatory drug every 8 hours for 10 days. Question 3. Answer: Question 27. \(\frac{3^{-2}}{3^{-4}}\) . 1 + 0.1 + 0.01 + 0.001 + 0.0001 +. WRITING The number of cans in each row is represented by the recursive rule a1 = 20, an = an-1 2. , the common ratio is 2. Answer: Question 29. Answer: Question 19. 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. Write a rule giving your salary an for your nth year of employment. . Question 15. The Sierpinski triangle is a fractal created using equilateral triangles. Answer: Question 5. d. 128, 64, 32, 16, 8, 4, . What was his prediction? Answer: Question 2. \(\frac{1}{4}, \frac{1}{16}, \frac{1}{64}, \frac{1}{256}, \frac{1}{1024}, \ldots\) 1, 2.5, 4, 5.5, 7, . 3 + 4 5 + 6 7 Answer: Question 65. Explain. . a2 = 2(2) + 1 = 5 435440). a2 = a1 5 = 1-5 = -4 0.3, 1.5, 7.5, 37.5, 187.5, . Tell whether the sequence 7, 14, 28, 56, 112, . Answer: Vocabulary and Core Concept Check Evaluating Recursive Rules, p. 442 A. an = 51 + 8n Answer: Question 28. Explain your reasoning. Sixty percent of the drug is removed from the bloodstream every 8 hours. Explain. Finding the Sum of an Arithmetic Sequence b. Each week, 40% of the chlorine in the pool evaporates. REASONING Answer: Write a recursive rule for the sequence. Explain your reasoning. . MODELING WITH MATHEMATICS What is the total amount of prize money the radio station gives away during the contest? (1/10)10 = 1/10n-1 * Ask an Expert *Response times may vary by subject and . So, it is not possible Justify your answer. Answer: Question 30. Employees at the company receive raises of $2400 each year. Two terms of a geometric sequence are a6 = 50 and a9 = 6250. \(\sum_{n=0}^{4}\)n3 Question 31. Answer: Question 7. 729, 243, 81, 27, 9, . Question 4. Question 1. You accept a job as an environmental engineer that pays a salary of $45,000 in the first year. \(\sum_{i=1}^{8}\)5(\(\frac{1}{3}\))i1 Answer: Question 3. a4 = 2/5 (a4-1) = 2/5 (a3) = 2/5 x 4.16 = 1.664 \(\sum_{k=1}^{12}\)(7k + 2) Answer: Question 6. 1, 2, 3, 4, . . Question 1. .+ 15 What are your total earnings in 6 years? Answer: Question 3. an = an-1 + 3 a8 = 1/2 0.53125 = 0.265625 Question 62. Since then, the companys profit has decreased by 12% per year. MATHEMATICAL CONNECTIONS . \(3+\frac{3}{4}+\frac{3}{16}+\frac{3}{64}+\cdots\) 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. an = 180(n 2)/n Answer: Question 54. . Enter 340 \(\sum_{i=2}^{7}\)(9 i3) The graph of the exponential decay function f(x) = bx has an asymptote y = 0. The first term is 7 and each term is 5 more than the previous term. Work with a partner. Mathleaks offers learning-focused solutions and answers to commonly used textbooks for Algebra 2, 10th and 11th grade. 4, 6, 9, \(\frac{27}{2}\), . Then write the terms of the sequence until you discover a pattern. Given that the sequence is 7, 3, 4, -1, 5. a4 = 1/2 8.5 = 4.25 Use the sequence mode and the dot mode of a graphing calculator to graph the sequence. 2, 14, 98, 686, 4802, . \(0+\frac{1}{2}+\frac{2}{3}+\frac{3}{4}+\cdots+\frac{7}{8}\) Find the amount of the last payment. Answer: Find the sum D. 586,459.38 Answer: MODELING WITH MATHEMATICS In Exercises 57 and 58, use the monthly payment formula given in Example 6. Explain your reasoning. an = 25.71 5 Is your friend correct? How much money do you have in your account immediately after you make your last deposit? MAKING AN ARGUMENT Question 28. Answer: Write a rule for the nth term of the arithmetic sequence. The table shows that the force F (in pounds) needed to loosen a certain bolt with a wrench depends on the length (in inches) of the wrenchs handle. a1 = 1 VOCABULARY MODELING WITH MATHEMATICS . HOW DO YOU SEE IT? Explain. Write a recursive rule for the sequence whose graph is shown. a. Answer: Question 6. A. The loan is secured for 7 years at an annual interest rate of 11.5%. Sixty percent of the drug is removed from the bloodstream every 8 hours. Answer: Question 13. 86, 79, 72, 65, . g(x) = \(\frac{2}{x}\) + 3 DRAWING CONCLUSIONS Find the balance after the fourth payment. a. an = 45 2 USING EQUATIONS (Hint: Let a20 = 0.) The constant ratio of consecutive terms in a geometric sequence is called the __________. an = 180(n 2)/n MODELING WITH MATHEMATICS a. , 10-10 n = 14 a1 = 7, an = an-1 + 11 Answer: In Exercises 3340, write a rule for the nth term of the geometric sequence. \(\sum_{i=1}^{7}\)16(0.5)t1 an = 180(3 2)/3 Question 1. Then solve the equation for M. Answer: Question 58. The value of each of the interior angle of a 6-sided polygon is 120 degrees. \(\left(\frac{9}{49}\right)^{1 / 2}\) Answer: Question 10. f(1) = \(\frac{1}{2}\)f(0) = 1/2 10 = 5 Answer: Question 13. Question 9. 21, 14, 7, 0, 7, . FINDING A PATTERN Solve the equation from part (a) for an-1. Answer: Question 48. (1/10)n-1 b. Thus, tap the links provided below in order to practice the given questions covered in Big Ideas Math Book Algebra 2 Answer Key Chapter 4 Polynomial Functions. \(\sum_{i=2}^{8} \frac{2}{i}\) an = 0.4 an-1 + 325 Answer: Question 45. an = 36 3 Grounded in solid pedagogy and extensive research, the program embraces Dr. John Hattie's Visible Learning Research. More textbook info . 8, 6.5, 5, 3.5, 2, . Write a rule for the geometric sequence with the given description. Question 3. Answer: Question 43. Answer: Question 33. The first week you do 25 push-ups. a5 = 3, r = \(\frac{1}{3}\) partial sum, p. 436 Question 13. Write a rule for an. Does this situation represent a sequence or a series? Answer: Question 27. an-1 is the balance before payment, So that balance after the 4th payment will be = $9684.05 Apart from the Quadratic functions exercises, you can also find the exercise on the Lesson Focus of a Parabola. . \(\sum_{i=1}^{n}\)(4i 1) = 1127 Check out the modules according to the topics from Big Ideas Math Textbook Algebra 2 Ch 3 Quadratic Equations and Complex Numbers Solution Key. . Answer: Question 3. Answer: Find the sum. tn = 8192, a = 1 and r = 2 Question 3. a2 = 3a1 + 1 Part of the pile is shown. 1st Edition. . n = 11 Then graph the first six terms of the sequence. Which rule gives the total number of squares in the nth figure of the pattern shown? Answer: Question 8. . Sn = a(rn 1) 1/r 1 Math. The common difference is d = 7. A quilt is made up of strips of cloth, starting with an inner square surrounded by rectangles to form successively larger squares. , 800 So, it is not possible Find the number of members at the start of the fifth year. In a sequence, the numbers are called the terms of the sequence. c. Write a rule for the square numbers in terms of the triangular numbers. \(\sum_{i=1}^{12}\)6(2)i1 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. Question 38. Assuming this trend continues, what is the total profit the company can make over the course of its lifetime? c. Describe what happens to the number of members over time. 7/7-3 Anarithmetic sequencehas a constantdifference between each consecutive pair of terms. Check your solution. . A move consists of moving exactly one ring, and no ring may be placed on top of a smaller ring. B. Write a recursive rule for the sequence. How can you recognize a geometric sequence from its graph? 2 + 4 8 + 16 32 ABSTRACT REASONING an = a1 + (n-1)(d) Match each sequence with its graph. . MODELING WITH MATHEMATICS 6 + 36 + 216 + 1296 + . Title: Microsoft Word - assessment_book.doc Author: dtpuser Created Date: 9/15/2009 11:28:59 AM . The lanes are numbered from 1 to 8 starting from the inside lane. . What happens to the number of books in the library over time? \(\sum_{i=1}^{10}\)9i You and your friend are comparing two loan options for a $165,000 house. Your friend claims there is a way to use the formula for the sum of the first n positive integers. Justify your answer. What is a rule for the nth term of the sequence? Write a rule for the salary of the employee each year. Check your solution(s). Answer: Question 52. . Question 25. . Year 7 of 8: 286 19, 13, 7, 1, 5, . Then verify your formula by checking the sums you obtained in Exploration 1. . Answer: . 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. . B. an = 35 + 8n Answer: Question 4. Then describe what happens to Sn as n increases. Question 5. Answer: In Exercises 36, consider the infinite geometric series. In 1965, only 50 transistors fit on the circuit. Question 73. \(\sum_{i=1}^{n}\)(4i 1) = 1127 Question 2. \(\frac{2}{3}, \frac{4}{4}, \frac{6}{5}, \frac{8}{6}, \ldots\) The Solutions covered here include Questions from Chapter Tests, Review Tests, Cumulative Practice, Cumulative Assessments, Exercise Questions, etc. Answer: Answer: Question 19. CRITICAL THINKING a. Then graph the sequence. REWRITING A FORMULA The frequencies of G (labeled 8) and A (labeled 10) are shown in the diagram. 58.65 Answer: Question 8. 1, 3, 9, 27, . 1000 = 2 + n 1 6x = 4 One term of an arithmetic sequence is a12 = 19. a. When an infinite geometric series has a finite sum, what happens to r n as n increases? a. 15, 9, 3, 3, 9, . Answer: Question 17. You add 34 ounces of chlorine the first week and 16 ounces every week thereafter. Categories Big Ideas Math Post navigation. Log in. The process involves removing smaller triangles from larger triangles by joining the midpoints of the sides of the larger triangles as shown. Question 1. Answer: Question 5. Answer: Question 8. Answer: Question 60. Find the amount of chlorine in the pool at the start of the third week. Finding the Sum of a Geometric Sequence 4, 8, 12, 16, . . For a display at a sports store, you are stacking soccer balls in a pyramid whose base is an equilateral triangle with five layers. Given that, n = -64/3 is a negative value. 1, 1, 3, 5, 7, . Answer: Question 4. Answer: Question 3. Then write a rule for the nth term of the sequence, and use the rule to find a10. Question 3. Answer: Finding Sums of Infinite Geometric Series a4 = 3 229 + 1 = 688 Justify your answer. Answer: Question 57. Answer: Find the sum. \(\sum_{i=1}^{33}\)(6 2i ) f(6) = f(6-1) + 2(6) = f(5) + 12 WRITING EQUATIONS In Exercises 3944, write a rule for the sequence with the given terms. 3. You borrow $10,000 to build an extra bedroom onto your house. a2 = 1/2 34 = 17 a2 = 4(6) = 24. Determine whether each graph shows an arithmetic sequence. Explain your reasoning. Answer: Question 2. Write a rule for your salary in the nth year. 3x=216-18 b. a1 = 4, an = 0.65an-1 In an arithmetic sequence, the difference of consecutive terms, called the common difference, is constant. . Write a rule for the number of soccer balls in each layer. an = 5, an = an-1 \(\frac{1}{3}\) Then find a9. . FINDING A PATTERN a. Explain the difference between an explicit rule and a recursive rule for a sequence. MODELING WITH MATHEMATICS a7 = 1/2 1.625 = 0.53125 f(n) = 2f (n 1) How can you define a sequence recursively? .+ 12 e. \(\frac{1}{2}\), 1, 2, 4, 8, . Justify your answers. In April of 1965, an engineer named Gordon Moore noticed how quickly the size of electronics was shrinking. Answer: Question 26. Find two infinite geometric series whose sums are each 6. . Answer: Question 70. It is seen that after n = 12, the same value of 1083.33 is repeating. Question 1. a. There can be a limited number or an infinite number of terms of a sequence. Answer: Question 10. . .. . You save an additional penny each day after that. a4 = -5(a4-1) = -5a3 = -5(-200) = 1000. Describe the pattern, write the next term, and write a rule for the nth term of the sequence. . When n = 3 You take out a 5-year loan for $15,000. The function is not a polynomial function because the term 2x -2 has an exponent that is not a whole number. MODELING WITH MATHEMATICS Answer: a3 = a3-1 + 26 = a2 + 26 = 22 + 26 = 48. . . 2n + 5n 525 = 0 f(5) = \(\frac{1}{2}\)f(4) = 1/2 5/8 = 5/16. Find the total number of skydivers when there are four rings. Given that a. an = 180(n 2)/n a2 = 2/5 (a2-1) = 2/5 (a1) = 2/5 x 26 = 10.4 3, 5, 7, 9, . 5 + 11 + 17 + 23 + 29 Which does not belong with the other three? 7n 28 + 6n + 6n 120 = 455 216=3x+18 Write the first five terms of the sequence. . b. . f(2) = \(\frac{1}{2}\)f(1) = 1/2 5 = 5/2 a1 = 1 8(\(\frac{3}{4}\))x = \(\frac{27}{8}\) You can write the nth term of a geometric sequence with first term a1 and common ratio r as Answer: Question 55. Question 1. . Recognizing Graphs of Arithmetic Sequences B. a4 = 53 Justify your answers. Question 47. Question 53. Question 63. HOW DO YOU SEE IT? \(\frac{2}{5}+\frac{4}{25}+\frac{8}{125}+\frac{16}{1625}+\frac{32}{3125}+\cdots\) Answer: Question 26. . Answer: Question 14. Domestic bees make their honeycomb by starting with a single hexagonal cell, then forming ring after ring of hexagonal cells around the initial cell, as shown. . The process involves removing smaller squares from larger squares. -6 + 5x b. . In 2010, the town had a population of 11,120. 0.115/12 = 0.0096 Answer: Find the sum. \(\frac{1}{4}+\frac{2}{5}+\frac{3}{6}+\frac{4}{7}+\cdots\) a1 = the first term of the series Compare your answers to those you obtained using a spreadsheet. If you plan and prepare all the concepts of Algebra in an effective way then anything can be possible in education. Answer: Question 39. Answer: In a geometric sequence, the ratio of any term to the previous term, called the common ratio, is constant. What happens to the population of fish over time? Assume that the initial triangle has an area of 1 square foot. The value that a drug level approaches after an extended period of time is called the maintenance level. Answer: Then graph the sequence. Answer: Question 7. a. an = an-1 5 Answer: Question 8. a5 = 4(384) =1,536 The monthly payment is $213.59. Find the sum of each infinite geometric series, if it exists. 4 + 7 + 12 + 19 + . n = 9 or n = -67/6 Answer: In Exercises 1320, write a rule for the nth term of the sequence. an = (n-1) x an-1 183 15. Find and graph the partial sums Sn for n= 1, 2, 3, 4, and 5. . a. \(\sum_{n=1}^{9}\)(3n + 5) 2x + 4x = 1 + 3 (The figure shows a partially completed spreadsheet for part (a).). WRITING EQUATIONS a. . 2, 6, 24, 120, 720, . Tn = 180(12 2) A recursive _________ tells how the nth term of a sequence is related to one or more preceding terms. Answer: Question 28. . Write your answer in terms of n, x, and y. , 1000 301 = 4 + (n 1)3 . Sn = a1 + a1r + a1r2 + a1r3 + . Question 33. 1000 = 2 + (n 1)1 D. an = 2n + 1 an= \(\frac{1}{2}\left(\frac{1}{4}\right)^{n-1}\) The rule for the sequence giving the sum Tn of the measures of the interior angles in each regular n-sided polygon is Tn = 180(n 2). 1 + 0.1 + 0.01 + 0.001 + 0.0001 +. Answer: Question 15. Question 67. Answer: Question 61. an = r x an1 . Answer: Find the sum of the infinite geometric series, if it exists. .. The frequencies (in hertz) of the notes on a piano form a geometric sequence. Translating Between Recursive and Explicit Rules, p. 444. PROBLEM SOLVING . At the end of each month, you make a payment of $300. 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, . D. 5.63 feet Write a rule for the number of games played in the nth round. . Answer: Describe the pattern, write the next term, graph the first five terms, and write a rule for the nth term of the sequence. Answer: Question 6. a1 = -4.1 + 0.4(1) = -3.7 An employee at a construction company earns $33,000 for the first year of employment. 2.3, 1.5, 0.7, 0.1, . The Sum of a Finite Geometric Series, p. 428. .. Then find a15. Explain your reasoning. The constant difference between consecutive terms of an arithmetic sequence is called the _______________. .has a finite sum. Answer: Describe how the structure of the equation presented in Exercise 40 on page 448 allows you to determine the starting salary and the raise you receive each year. Explain Gausss thought process. . . . Let an be the total area of all the triangles that are removed at Stage n. Write a rule for an. f. 1, 1, 2, 3, 5, 8, . a6 = 96, r = 2 B. Answer: Answer: Question 54. Answer: Question 52. Write an equation that relates and F. Describe the relationship. Answer: Question 72. Answer: Question 2. Refer to BIM Algebra Textbook Answers to check the solutions with your solutions. c. Put the value of n = 12 in the divided formula to get the sum of the interior angle measures in a regular dodecagon. = f(0) + 2 = 4 + 1 = 5 Answer: Question 20. Question 5. . Answer: Determine whether the sequence is arithmetic, geometric, or neither. D. a6 = 47 REWRITING A FORMULA Write a recursive rule for the number an of books in the library at the beginning of the nth year. The library can afford to purchase 1150 new books each year. Thus, make use of our BIM Book Algebra 2 Solution Key Chapter 2 . \(2+\frac{4}{3}+\frac{8}{9}+\frac{16}{27}+\frac{32}{81}+\cdots\) a4 = 12 = 3 x 4 = 3 x a3. 25, 10, 4, \(\frac{8}{5}\) , . Answer: Question 68. Pieces of chalk are stacked in a pile. What can you conclude? Sn = 1(16384 1) 1/2-1 Question 1. Answer: Question 9. a1 = 34 b. Rectangular tables are placed together along their short edges, as shown in the diagram. . Consider the infinite geometric series an = (an-1 0.98) + 1150 Begin with a pair of newborn rabbits. an = (an-1)2 10 Substitute n = 30 in the above recursive rule and simplify to get the final answer. Answer: Question 34. Answer: 12 + 38 + 19 + 73 = 142. 1, 2, 4, 8, 16, . Then find the remaining area of the original square after Stage 12. Answer: Question 42. \(\sum_{i=0}^{8}\)8(\(\frac{2}{3}\))i Write an explicit rule for the value of the car after n years. Write the first five terms of the sequence. \(\left(\frac{9}{49}\right)^{1 / 2}\) Answer: Your friend says it is impossible to write a recursive rule for a sequence that is neither arithmetic nor geometric. \(\frac{1}{6}, \frac{1}{2}, \frac{5}{6}, \frac{7}{6}, \frac{3}{2}, \ldots\) Answer: Question 23. We cover textbooks from publishers such as Pearson, McGraw Hill, Big Ideas Learning, CPM, and Houghton Mifflin Harcourt. You make a $500 down payment on a $3500 diamond ring. CRITICAL THINKING b. THOUGHT PROVOKING \(\sum_{k=4}^{6} \frac{k}{k+1}\) Answer: Essential Question How can you write a rule for the nth term of a sequence? (3n + 64) (n 17) = 0 b. 409416). Memorize the different types of problems, formulas, rules, and so on. Answer: Question 53. If not, provide a counterexample. . Explain. Answer: Question 12. You take out a loan for $16,000 with an interest rate of 0.75% per month. 7, 1, 5, 11, 17, . Answer: Question 12. a1 = 4, an = 2an-1 1 Question 3. Answer: Question 4. an = 0.4 an-1 + 650 for n > 1 Answer: Question 60. x=4, Question 5. . Answer: Question 3. Recursive: a1 = 1, a2 = 1, an = an-2 + an-1 a. 7, 3, 4, 1, 5, . Answer: Question 35. f(0) = 4, f(n) = f(n 1) + 2n USING STRUCTURE Answer: Question 4. For a 2-month loan, t= 2, the equation is [L(1 + i) M](1 + i) M = 0. Describe the type of decline. What is the approximate frequency of E at (labeled 4)? CRITICAL THINKING Work with a partner. (11 2i) (-3i + 6) = 8 + x Answer: Question 5. b. Answer: On January 1, you deposit $2000 in a retirement account that pays 5% annual interest. Answer: Question 46. MODELING WITH MATHEMATICS Answer: Question 21. Given that, You add 34 ounces of chlorine the first week and 16 ounces every week thereafter. Use this formula to check your answers in Exercises 57 and 58. 13, 6, 1, 8, . . Answer: Question 19. Use Archimedes result to find the area of the region. Question 3. Answer: Find the sum. Question 11. Work with a partner. USING TOOLS . . This is similar to the linear functions that have the form y=mx +b. \(\sum_{i=1}^{6}\)2i How many band members are in a formation with seven rows? The Greek mathematician Zeno said no. Answer: Question 45. Question 39. 5, 20, 35, 50, 65, . The length3 of the third loop is 0.9 times the length of the second loop, and so on. Big Ideas Math Algebra 1 Answers; Big Ideas Math Algebra 2 Answers; Big Ideas Math Geometry Answers; Here, we have provided different Grades Solutions to Big Ideas Math Common Core 2019. Get a fun learning environment with the help of BIM Algebra 2 Textbook Answers and practice well by solving the questions given in BIM study materials. Find the total number of games played in the regional soccer tournament. is equal to 1. 8192 = 1 2n-1 A company had a profit of $350,000 in its first year. Question 10. Answer: Question 4. , an, . Answer: Question 51. Explain your reasoning. b. an-1 Answer: . . c. How long will it take to pay off the loan? WRITING Answer: Question 5. . (n 9) (6n + 67) = 0 . Answer: Question 29. Answer: Question 17. . The number of cells in successive rings forms an arithmetic sequence. . Thus the amount of chlorine in the pool at the start of the third week is 16 ounces. an = 180/3 = 60 f(x) = \(\frac{1}{x-3}\) USING STRUCTURE Calculate the monthly payment. . Answer: Question 35. Answer: Question 36. 96, 48, 24, 12, 6, . (The figure shows a partially completed spreadsheet for part (a).). The first four iterations of the fractal called the Koch snowflake are shown below. c. 3x2 14 = -20 . Year 1 of 8: 75 You add chlorine to a swimming pool. . 1000 = n + 1 Question 55. Answer: In Exercises 2938, write a recursive rule for the sequence. Step2: Find the sum Use what you know about arithmetic sequences and series to determine what portion of a hekat each man should receive. 3, 1, 2, 6, 11, . B. an = n/2 How can you find the sum of an infinite geometric series? Answer: Simplify the expression. . Rule for a Geometric Sequence, p. 426 Then graph the first six terms of the sequence. a1 = 6, an = 4an-1 . WRITING b. Answer: 8.3 Analyzing Geometric Sequences and Series (pp. . a1 = 3, an = an-1 7 Graph of a geometric sequence behaves like graph of exponential function. Answer: Before doing homework, review the concept boxes and examples. In the first round of the tournament, 32 games are played. Find the balance after the fifth payment. Answer: Question 14. Use the rule for the sum of a finite geometric series to write each polynomial as a rational expression. Answer: Question 48. Question 2. . Finish your homework or assignments in time by solving questions from B ig Ideas Math Book Algebra 2 Ch 8 Sequences and Series here. Answer: In Exercises 310, tell whether the sequence is arithmetic. Question 5. b. A. an = n 1 D. 10,000 CRITICAL THINKING 1.3, 3.9, 11.7, 35.1, . For example, you will save two pennies on the second day, three pennies on the third day, and so on. The graph shows the partial sums of the geometric series a1 + a2 + a3 + a4+. Big Ideas Math Algebra 2 Solutions | Big Ideas Math Answers Algebra 2 PDF. Let us consider n = 2. Answer: Question 40. . CRITICAL THINKING .. Then find a9. Given, By this, you can finish your homework problems in time. Question 7. \(\frac{1}{20}, \frac{2}{30}, \frac{3}{40}, \frac{4}{50}, \ldots\) Answer: Your friend claims the total amount repaid over the loan will be less for Loan 2. an = 180(6 2)/6 So, you can write the sum Sn of the first n terms of a geometric sequence as a1 = 5, an = \(\frac{1}{4}\)an-1 a1 = 26, an = 2/5 (an-1) Answer: Question 10. -5 2 \(\frac{4}{5}-\frac{8}{25}-\cdots\) . Check out Big Ideas Math Algebra 2 Answers Chapter 8 Sequences and Series aligned as per the Big Ideas Math Textbooks. \(\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}, \ldots\) The answer would be hard work along with smart work. 3, 6, 9, 12, 15, 18, . 216 = 3(x + 6) Sn = 1/9. For a 1-month loan, t= 1, the equation for repayment is L(1 +i) M= 0. Our goal is to put the right resources into your hands. C. an = 4n Write a rule for an. Let L be the amount of a loan (in dollars), i be the monthly interest rate (in decimal form), t be the term (in months), and M be the monthly payment (in dollars). Answer: Question 45. . n = 15. Answer: WRITING EQUATIONS In Exercises 4146, write a rule for the sequence with the given terms. The variables x and y vary inversely. Answer: Write a rule for the nth term of the sequence. Answer: A recursive sequence is also called the recurrence sequence it is a sequence of numbers indexed by an integer and generated by solving a recurrence equation. Find the total distance flown at 30-minute intervals. . an = 17 4n \(\sum_{i=1}^{6}\)4(3)i1 Answer: Write a rule for the nth term of the sequence. a1 = 4(1) = 4 Write are cursive rule for the amount you have saved n months from now. a4 = 4(96) = 384 , 10-10 Write a recursive rule for the amount of chlorine in the pool at the start of the nth week. c. 800 = 4 + (n 1)2 f(1) = f(1-1) + 2(1) a11 = 43, d = 5 an+1 = 3an + 1 For a regular n-sided polygon (n 3), the measure an of an interior angle is given by an = \(\frac{180(n-2)}{n}\) Explain your reasoning. \(\sum_{i=1}^{\infty} \frac{2}{5}\left(\frac{5}{3}\right)^{i-1}\) . C. an = 51 8n Finish your homework or assignments in time by solving questions from B ig Ideas Math Book Algebra 2 Ch 8 Sequences and Series here. Licensed math educators from the United States have assisted in the development of Mathleaks . n = -35/2 is a negatuve value. an = 10^-10 Answer: Question 2. . Use a series to determine how many days it takes you to save $500. There is an equation for it, Answer: Question 61. This BIM Textbook Algebra 2 Chapter 1 Solution Key includes various easy & complex questions belonging to Lessons 2.1 to 2.4, Assessment Tests, Chapter Tests, Cumulative Assessments, etc. Week, 40 % of the first six terms of an arithmetic sequence the with... May be placed on top of a geometric sequence 4, 8, 16, 4?. + 3 a8 = 1/2 0.53125 = 0.265625 Question 62 named Gordon Moore noticed how quickly the size electronics!, what is the total number of squares in the pool at the of..., review the Concept boxes and examples 0.01 + 0.001 + 0.0001 + 34... 15, 9, whether the sequence, McGraw Hill, Big Learning... And so on n = 3, 1, 2, 10th and 11th grade recursive,. 16 ounces piano form a geometric sequence Rules, p. 442 a. =! Squares in the pool evaporates to find a10 of mathleaks Question 2 drug is removed from the lane! 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