n = 9 or n = -67/6 OPEN-ENDED Answer: Question 12. Explain your reasoning. 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. 2x + 3y + 2z = 1 How can you find the sum of an infinite geometric series? Question 15. 301 = 4 + (n 1)3 . Justify your answers. \(\sum_{k=1}^{5}\)11(3)k2 Answer: Answer: Question 14. Describe what happens to the values in the sequence as n increases. x = 2, y = 9 Recognizing Graphs of Geometric Sequences The value of each of the interior angle of a 6-sided polygon is 120 degrees. Question 3. Assume that the initial triangle has an area of 1 square foot. \(\sum_{i=1}^{10}\)4(\(\frac{3}{4}\))i1 7, 1, 5, 11, 17, . Answer: Question 36. a1 = 325, b. You want to save $500 for a school trip. . an = 3 + 4n Question 11. . b. f(3) = f(2) + 6 = 9 + 6 Answer: Question 4. Answer: WRITING EQUATIONS In Exercises 4146, write a rule for the sequence with the given terms. .+ 100 . . * Ask an Expert *Response times may vary by subject and . MODELING WITH MATHEMATICS MODELING WITH MATHEMATICS , 3n-2, . p(x) = \(\frac{3}{x+1}\) 2 . Answer: Question 61. Hence the recursive equation is an = 3/5 x an1 . c. Write a rule for the square numbers in terms of the triangular numbers. n = 300/3 The first term is 3 and each term is 6 less than the previous term. Question 47. Answer: Question 11. Answer: Question 19. Answer: Question 7. Evaluating a Recursive Rule WHAT IF? an = 36 3 . y= 2ex Answer: Answer: Question 11. Big Ideas MATH: A Common Core Curriculum for Middle School and High School Mathematics Written by Ron Larson and Laurie Boswell. . Question 15. . 2, 6, 24, 120, 720, . a1 = 4, an = an-1 + 26 Answer: Determine the type of function represented by the table. Answer: Question 48. Explain Gausss thought process. f(0) = 4 and f(n) = f(n-1) + 2n Answer: Question 5. There can be a limited number or an infinite number of terms of a sequence. Answer: Question 20. How can you write a rule for the nth term of a sequence? In 2010, the town had a population of 11,120. PROBLEM SOLVING Answer: Question 60. 2, 14, 98, 686, 4802, . Sn = a(rn 1) 1/r 1 Answer: Question 66. At the end of each month, you make a payment of $300. The explicit rule an= 30n+ 82 gives the amount saved after n months. Then use the spreadsheet to determine whether the infinite geometric series has a finite sum. Answer: Question 37. an+1 = 3an + 1 a4 = a3 5 = -9 5 = -14 Answer: Question 61. a5 = 2/5 (a5-1) = 2/5 (a4) = 2/5 x 1.664 = 0.6656 . (1/10)n-1 HOW DO YOU SEE IT? On each bounce, the basketball bounces to 36% of its previous height, and the baseball bounces to 30% of its previous height. The length3 of the third loop is 0.9 times the length of the second loop, and so on. a4 = 4(96) = 384 . Question 5. Section 1.2: Transformations of Linear and Absolute Value Functions. Question 11. a6 = a5 5 = -19 5 = -24. . A radio station has a daily contest in which a random listener is asked a trivia question. . Explain your reasoning. an = (n-1) x an-1 . Answer: Find the length of the spring, if possible. Question 5. Answer: Question 8. What is the 873rd term of the sequence whose first term is a1 = 0.01 and whose nth term is an = 1.01an-1? 21, 14, 7, 0, 7, . \(0+\frac{1}{2}+\frac{2}{3}+\frac{3}{4}+\cdots+\frac{7}{8}\) You take out a 30-year mortgage for $200,000. Given, So, it is not possible Justify your answer. . Year 1 of 8: 75 c. Describe what happens to the number of members over time. DRAWING CONCLUSIONS Finish your homework or assignments in time by solving questions from B ig Ideas Math Book Algebra 2 Ch 8 Sequences and Series here. . In Example 6, how does the monthly payment change when the annual interest rate is 5%? Answer: Question 1. Each week, 40% of the chlorine in the pool evaporates. Write a rule for the nth term. . Answer: Question 14. a5 = 3, r = \(\frac{1}{3}\) Answer: In Exercises 2938, write a recursive rule for the sequence. Answer: Question 35. DRAWING CONCLUSIONS a5 = -5(a5-1) = -5a4 = -5(1000) = -5000. a1 = 34 If so, provide a proof. . Which rule gives the total number of green squares in the nth figure of the pattern shown? 2, \(\frac{5}{4}\), \(\frac{1}{2}\), \(\frac{1}{4}\), . Answer: Question 5. Work with a partner. Answer: Find the sum. Answer: Question 2. WRITING a. x + \(\sqrt{-16}\) = 0 (Hint: L is equal to M times a geometric series.) . 441450). A fractal tree starts with a single branch (the trunk). Question 1. Question 59. Answer: . D. 586,459.38 b. Answer: Find the sum. a4 = 4(4) = 16 Question 5. February 15, 2021 / By Prasanna. Big Ideas Math . d. \(\frac{25}{4}, \frac{16}{4}, \frac{9}{4}, \frac{4}{4}, \frac{1}{4}, \ldots\) Enter each geometric series in a spreadsheet. \(\sum_{n=1}^{9}\)(3n + 5) . . The length2 of the second loop is 0.9 times the length of the first loop. a3 = 16 MODELING WITH MATHEMATICS f(0) = 10 1000 = n + 1 DIFFERENT WORDS, SAME QUESTION Explain your reasoning. Compare sequences and series. The first 8 terms of the geometric sequence 12, 48, 192, 768, . Find \(\sum_{n=1}^{\infty}\)an. Answer: Question 26. So, it is not possible Answer: Describe the pattern, write the next term, graph the first five terms, and write a rule for the nth term of the sequence. 1 + 0.1 + 0.01 + 0.001 + 0.0001 +. 54, 43, 32, 21, 10, . . Answer: Question 45. Series and Summation Notation, p. 412 USING STRUCTURE Answer: Question 69. Answer: Question 21. Then, referring to this Big Ideas Math Algebra 2 Answers Chapter 5 Rational Exponents and Radical Functions is the best option. Then write a rule for the nth term of the sequence, and use the rule to find a10. Then graph the first six terms of the sequence. CRITICAL THINKING What can you conclude? tn = 8192, a = 1 and r = 2 Answer: Question 60. 1, 2, 3, 4, . Licensed math educators from the United States have assisted in the development of Mathleaks . 1, 3, 9, 27, . Answer: Essential Question How can you define a sequence recursively?A recursive rule gives the beginning term(s) of a sequence and a recursive equation that tells how an is related to one or more preceding terms. f(4) = \(\frac{1}{2}\)f(3) = 1/2 5/4 = 5/8 . a1 = 1 1 = 0 Question 19. an = (an-1)2 10 When an infinite geometric series has a finite sum, what happens to r n as n increases? . an = 0.6 an-1 + 16 A tree farm initially has 9000 trees. Write a rule for the number of band members in the nth row. To the astonishment of his teacher, Gauss came up with the answer after only a few moments. Each year, 10% of the trees are harvested and 800 seedlings are planted. Use what you know about arithmetic sequences and series to determine what portion of a hekat each man should receive. Answer: Question 9. MODELING WITH MATHEMATICS PROBLEM SOLVING You add 34 ounces of chlorine the first week and 16 ounces every week thereafter. \(\sum_{n=1}^{\infty} 8\left(\frac{1}{5}\right)^{n-1}\) Answer: Question 17. Your friend says it is impossible to write a recursive rule for a sequence that is neither arithmetic nor geometric. a2 = 4(2) = 8 a. S = 1/1 0.1 = 1/0.9 = 1.11 Question 4. Answer: Question 16. n = -49/2 \(\sum_{n=0}^{4}\)n3 = f(0) + 2 = 4 + 1 = 5 Does the person catch up to the tortoise? Find a0, the minimum amount of money you should have in your account when you retire. Question 29. MODELING WITH MATHEMATICS Answer: In Exercises 3950, find the sum. Answer: Question 23. Question 10. Determine whether each graph shows an arithmetic sequence. Write a conjecture about how you can determine whether the infinite geometric series MODELING WITH MATHEMATICS Find step-by-step solutions and answers to Big Ideas Math Algebra 2: A Bridge to Success - 9781680331165, as well as thousands of textbooks so you can move forward with confidence. \(\sum_{i=1}^{n}\)(4i 1) = 1127 . an = 25.71 5 . . a1 = 4, an = 0.65an-1 Write a recursive rule for the sequence and find its first eight terms. Your friend claims that 0.999 . All grades BIM Book Answers are available for free of charge to access and download offline. 5, 20, 35, 50, 65, . Answer: Question 20. Question 31. a. an = 128.55 Answer: The standard form of a polynomials has the exponents of the terms arranged in descending order. Work with a partner. Justify your answer. Question 3. Explain your reasoning. Answer: In Exercises 3340, write a rule for the nth term of the geometric sequence. 1000 = 2 + n 1 Year 4 of 8: 146 Answer: Question 11. an = 30 4 Big ideas math algebra 2 student journal answer key pdf. \(\frac{1}{4}, \frac{1}{16}, \frac{1}{64}, \frac{1}{256}, \frac{1}{1024}, \ldots\) a1 = 2, . Answer: Question 12. Assuming this trend continues, what is the total profit the company can make over the course of its lifetime? , the common difference is 3. Answer: Question 14. 1, 2, 2, 4, 8, 32, . Answer: Write the series using summation notation. HOW DO YOU SEE IT? Complete homework as though you were also preparing for a quiz. Evaluating Recursive Rules, p. 442 an = r . x 4y + 5z = 4 Answer: Question 62. a3 = a3-1 + 26 = a2 + 26 = 22 + 26 = 48. . \(\sum_{n=1}^{\infty}\left(-\frac{1}{2}\right)^{n-1}\) The answer would be hard work along with smart work. \(\sum_{i=1}^{10}\)9i Answer: 3, 5, 15, 75, 1125, . a1 = 1 b. Look back at the infinite geometric series in Exploration 1. Answer: Question 19. b. a1 = 1 Question 7. How much do you owe at the beginning of the 18th month? Answer: Question 9. Answer: Question 26. Question 2. n = 17 Answer: Question 8. Find the value of x and the next term in the sequence. Use a spreadsheet to help you answer the question. \(3+\frac{3}{4}+\frac{3}{16}+\frac{3}{64}+\cdots\) . . Answer: Question 35. 301 = 4 + 3n 3 9, 16.8, 24.6, 32.4, . Answer: Question 29. Write a rule for an. 2 + 4 8 + 16 32 You just need to tap on them and avail the underlying concepts in it and score better grades in your exams. a. Work with a partner. Answer: Question 40. Our subject experts created this BIM algebra 2 ch 5 solution key as per the Common core edition BIM Algebra 2 Textbooks. n = 2 Answer: Question 6. What happens to the population of fish over time? Answer: MODELING WITH MATHEMATICS In Exercises 57 and 58, use the monthly payment formula given in Example 6. Copy and complete the table to evaluate the function. \(\sum_{i=1}^{7}\)16(0.5)t1 Question 15. . 3, 1, 2, 6, 11, . Answer: Question 6. -5 2 \(\frac{4}{5}-\frac{8}{25}-\cdots\) Transformations of Linear and Absolute Value Functions p. 11-18 Solve the equation from part (a) for an-1. Answer: Question 13. . Answer: (n 15)(2n + 35) = 0 (The figure shows a partially completed spreadsheet for part (a).). Find the amount of chlorine in the pool at the start of the third week. With the help of the Big Ideas Math Algebra 2 Answer Key, students can practice all chapters of algebra 2 and enhance their solving skills to score good marks in the exams. 213 = 2n-1 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. Question 4. In Example 6, suppose 75% of the fish remain each year. a21 = 25, d = \(\frac{3}{2}\) . (-3 4(3)) + (-3 4(4)) + . Then graph the sequence. 7x=31-3 We have provided the Big Ideas Math Algebra 2 Answer Key in a pdf format so that you can prepare in an offline mode also. Answer: Question 10. Answer: Write a rule for the nth term of the geometric sequence. Find the sum \(\sum_{i=1}^{9}\)5(2)i1 . . Question 3. 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. You take out a 5-year loan for $15,000. A. an = 51 + 8n Answer: Question 30. What is the total distance your cousin swings? a. r = 2/3 How much money will you save? Answer: Question 30. There is an equation for it, The distance from the center of a semicircle to the inside of a lane is called the curve radius of that lane. f(0) = 4, f(n) = f(n 1) + 2n Question 1. What does n represent for each quilt? 8.73 c. \(\frac{1}{4}, \frac{4}{4}, \frac{9}{4}, \frac{16}{4}, \frac{25}{4}, \ldots\) Solutions available . The monthly payment is $173.86. Answer: Question 8. . Answer: Question 2. Tn = 180 10 6x = 4 Is your friend correct? Answer: Core Vocabulary 417424). The common difference is 6. Explain your reasoning. Question 3. This is similar to the linear functions that have the form y=mx +b. The Sierpinski triangle is a fractal created using equilateral triangles. a1 = 1 Section 8.1Sequences, p. 410 \(\sum_{i=1}^{12}\)6(2)i1 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. an = 60 Describe the pattern shown in the figure. e. 5, 5, 5, 5, 5, 5, . a1 = 6, an = 4an-1 Question 21. explicit rule, p. 442 The Sum of a Finite Geometric Series, p. 428. Title: Microsoft Word - assessment_book.doc Author: dtpuser Created Date: 9/15/2009 11:28:59 AM Ageometric sequencehas a constant ratiobetweeneach pair of consecutive terms. . . \(\frac{1}{20}, \frac{2}{30}, \frac{3}{40}, \frac{4}{50}, \ldots\) Describe the type of growth. a26 = 4(26) + 7 = 111. Tell whether the function represents exponential growth or exponential decay. 798 = 2n 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. Explain. The number of items increases until it stabilizes at 57,500. . 13, 6, 1, 8, . In this section, you learned the following formulas. Answer: Find the sum. Answer: 3 + 4 5 + 6 7 . You are buying a new house. Question 2. CRITICAL THINKING The bottom row has 15 pieces of chalk, and the top row has 6 pieces of chalk. Answer: Question 50. a. 16, 9, 7, 2, 5, . How can you use tools to find the sum of the arithmetic series in Exercises 53 and 54 on page 423? Answer: Vocabulary and Core Concept Check For a display at a sports store, you are stacking soccer balls in a pyramid whose base is an equilateral triangle with five layers. A theater has n rows of seats, and each row has d more seats than the row in front of it. Answer: Question 49. The first four triangular numbers Tn and the first four square numbers Sn are represented by the points in each diagram. REWRITING A FORMULA f(n) = f(n 1) f(n 2) . recursive rule, p. 442, Core Concepts . Answer: Question 4. Write a rule for an. Answer: Question 62. . A sequence is an ordered list of numbers. a1 = 3, an = an-1 7 Do the perimeters and areas form geometric sequences? The number of cells in successive rings forms an arithmetic sequence. Answer: Question 7. Sn = 16383 Big Ideas Math Algebra 2 Texas Spanish Student Journal (1 Print, 8 Yrs) their parents answer the same question about each set of four. USING STRUCTURE In general most of the curve represents geometric sequences. \(\frac{1}{2}, \frac{1}{6}, \frac{1}{18}, \frac{1}{54}, \frac{1}{162}, \ldots\) The frequencies of G (labeled 8) and A (labeled 10) are shown in the diagram. Find two infinite geometric series whose sums are each 6. HOW DO YOU SEE IT? Question 4. Is your friend correct? Work with a partner. 0.1, 0.01, 0.001, 0.0001, . Question 1. Big Ideas Math Book Algebra 2 Answer Key Chapter 3 Quadratic Equations and Complex Numbers. a1 = the first term of the series a1 = 32, r = \(\frac{1}{2}\) a2 = a2-1 + 26 = a1 + 26 = -4 + 26 = 22. Write a recursive equation that shows how an is related to an-1. The constant ratio of consecutive terms in a geometric sequence is called the __________. Match each sequence with its graph. 8, 6.5, 5, 3.5, 2, . MODELING WITH MATHEMATICS The questions are prepared as per the Big Ideas Math Book Algebra 2 Latest Edition. COMPLETE THE SENTENCE Compare the terms of a geometric sequence when r > 1 to when 0 < r < 1. . . .+ 100 Answer: Question 30. Write a recursive rule for your salary. Question 34. an-1 Sn = a1/1 r C. 1010 a1 = 6, an = 4an-1 Answer: Question 3. Formulas for Special Series, p. 413, Section 8.2 f(2) = 9. Does the recursive rule in Exercise 61 on page 449 make sense when n= 5? . . Justify your answer. Answer: Question 27. . . , 10-10 About how much greater is the total distance traveled by the basketball than the total distance traveled by the baseball? an = 180(5 2)/5 You make a $500 down payment on a $3500 diamond ring. \(\sum_{i=1}^{24}\)(6i 13) After doing deep research and meets the Common Core Curriculum, subject experts solved the questions covered in Big Ideas Math Book Algebra 2 Solutions Chapter 11 Data Analysis and Statistics in an explanative manner. The process involves removing smaller triangles from larger triangles by joining the midpoints of the sides of the larger triangles as shown. Answer: Question 68. Sum = a1(1 r) Question 70. (7 + 12n) = 455 a39 = -4.1 + 0.4(39) = 11.5 He reasoned as follows: Answer: PROBLEM SOLVING . , 8192 Answer: DRAWING CONCLUSIONS Use each formula to determine how many rabbits there will be after one year. . Sn = 0.1/0.9 an = 180(n 2)/n \(\sum_{n=1}^{16}\)n Answer: Question 8. a1 = 4, an = 2an-1 1 1, 4, 5, 9, 14, . Write a recursive rule for each sequence. Answer: Question 46. Answer: In Exercises 1924, write the repeating decimal as a fraction in simplest form. . a4 = 4 1 = 16 1 = 15 409416). WRITING EQUATIONS In Exercises 3944, write a rule for the sequence with the given terms. If it does, find the sum. An employee at a construction company earns $33,000 for the first year of employment. Answer: Essential Question How can you recognize a geometric sequence from its graph? A town library initially has 54,000 books in its collection. an = a1 + (n-1)(d) The track has 8 lanes that are each 1.22 meters wide. First, assume that, 3n = 300 5.8, 4.2, 2.6, 1, 0.6 . 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: 9 + 16 + 25 + . The first term is 3, and each term is 5 times the previous term. Answer: Question 32. . . FINDING A PATTERN 2.00 feet .. Then find a15. n = 100 Write a rule for the nth term of the sequence. This implies that the maintenance level is 1083.33 Repeat these steps for each smaller square, as shown below. In a sequence, the numbers are called __________ of the sequence. S39 = 39(-3.7 + 11.5/2) Year 2 of 8: 94 Answer: Question 3. 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. Explain. Answer: Your friend claims the total amount repaid over the loan will be less for Loan 2. = 23 + 10 On January 1, you deposit $2000 in a retirement account that pays 5% annual interest. Each ratio is 2/3, so the sequence is geometric . Explain the difference between an explicit rule and a recursive rule for a sequence. 1.5, 7.5, 37.5, 187.5, . Check out the modules according to the topics from Big Ideas Math Textbook Algebra 2 Ch 3 Quadratic Equations and Complex Numbers Solution Key. a5 = 41, a10 = 96 How can you recognize a geometric sequence from its graph? a6 = -5(a6-1) = -5a5 = -5(-5000) = 25,000. Since 1083.33/541.6 2, the maintenance level doubles when the dose is doubled. Write a rule for the number of soccer balls in each layer. Question 7. . n = -35/2 is a negatuve value. a2 = 30, r = \(\frac{1}{2}\) 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, . Answer: Question 48. The Sum of an Infinite Geometric Series, p. 437, Section 8.5 0.115/12 = 0.0096 x = 259. Answer: Question 17. \(\sum_{i=2}^{8} \frac{2}{i}\) n = 23. c. \(\sum_{i=5}^{n}\)(7 + 12i) = 455 Work with a partner. Answer: Question 10. Answer: 3 + \(\frac{5}{2}+\frac{25}{12}+\frac{125}{72}+\cdots\) Write a rule for bn. Answer: Answer: Question 68. 4 + 7 + 12 + 19 + . b. . You add 34 ounces of chlorine the first week and 16 ounces every week thereafter. Question 62. During a baseball season, a company pledges to donate $5000 to a charity plus $100 for each home run hit by the local team. 5 + 6 + 7 +. Write a recursive rule for the sequence whose graph is shown. WRITING FINDING A PATTERN . . Write an explicit rule for the sequence. is geometric. a3 = 4(24) = 96 COMPARING METHODS The first term is 72, and each term is \(\frac{1}{3}\) times the previous term. , the common ratio is 2. \(\sum_{i=1}^{9}\)6(7)i1 Answer: Question 63. when n = 6 . a7 = 1/2 1.625 = 0.53125 b. Check your solution. The rule for a recursive sequence is as follows. \(\sum_{i=1}^{n}\)i = \(\frac{n(n+1)}{2}\) . an = 105(3/5)n1 . A pilot flies a plane at a speed of 500 miles per hour for 4 hours. What type of sequence do these numbers form? Question 9. an = 120 a4 = 2(4) + 1 = 9 Answer: \(\sum_{i=10}^{25}\)i Answer: Question 19. Memorize the different types of problems, formulas, rules, and so on. Answer: Question 13. c. Describe what happens to the amount of chlorine in the pool over time. 9, 6, 4, \(\frac{8}{3}\), \(\frac{16}{9}\), . Use the sequence mode and the dot mode of a graphing calculator to graph the sequence. . an = 180(n 2)/n a6 = 96, r = 2 The value of each of the interior angle of a 4-sided polygon is 90 degrees. Explain. You have saved $82 to buy a bicycle. 800 = 2 + 2n Work with a partner. With expert solutions for thousands of practice problems, you can take the guesswork out of studying and move forward with confidence. 8x = 2072 Answer: Question 40. Write the first six terms of the sequence. . \(\frac{2}{3}, \frac{2}{6}, \frac{2}{9}, \frac{2}{12}, \ldots\) Justify your answers. . HOW DO YOU SEE IT? 1, \(\frac{1}{3}\), \(\frac{1}{3}\), 1, . Question 41. Find and graph the partial sums Sn for n = 1, 2, 3, 4, and 5. Find the sum of each infinite geometric series, if it exists. a8 = 1/2 0.53125 = 0.265625 Explain. a1 + a1r + a1r2 + a1r3 +. . a5 = 4(384) =1,536 Year 6 of 8: 229 a6 = 3 2065 + 1 = 6196. So, it is not possible Answer: Vocabulary and Core Concept Check a2 = 2 1 = 4 1 = 3 a1 = 2 and r = 2/3 . . Answer: Question 12. Question 63. 800 = 4 + 2n 2 Then graph the first six terms of the sequence. Answer: Question 17. . A towns population increases at a rate of about 4% per year. . -3(n 2) 2(n 2) (n + 3) = 507 Tell whether the sequence 7, 14, 28, 56, 112, . . 2x 3 = 1 4x Among them, bigideasmathanswer.com is a reliable and trusted site that offers Chapterwise Algebra 2 Big Ideas Math Book Answer Key for free of cost. Then find the remaining area of the original square after Stage 12. Thus the amount of chlorine in the pool at the start of the third week is 16 ounces. b. Write a recursive rule for an = 105 (\(\frac{3}{5}\))n1 . 0.2, 3.2, 12.8, 51.2, 204.8, . C. 2.68 feet Justify your answer. Answer: Question 3. a2 = 4(6) = 24. How can you determine whether a sequence is geometric from its graph? 7 rings? WRITING 1, 8, 15, 22, 29, . a. D. 5.63 feet Question 27. \(\sum_{i=1}^{n}\)(3i + 5) = 544 f(5) = \(\frac{1}{2}\)f(4) = 1/2 5/8 = 5/16. a5 = a4 5 = -14 5 = -19 Find and graph the partial sums Sn for n= 1, 2, 3, 4, and 5. The value of x is 2/3 and next term in the sequence is -8/3. f(3) = \(\frac{1}{2}\)f(2) = 1/2 5/2 = 5/4 2, 4, 6, 8, 10, . Answer: Question 14. Answer: Find the sum of the infinite geometric series, if it exists. Answer: Question 11. f(x) = \(\frac{1}{x-3}\) \(\sqrt [ 3 ]{ x }\) + 16 = 19 Answer: Question 22. Archimedes used the sum of a geometric series to compute the area enclosed by a parabola and a straight line. The solutions seen in Big Ideas Math Book Algebra 2 Answer Key is prepared by math professionals in a very simple manner with explanations. an+ 1 = 1/2 an Sn = a1\(\left(\frac{1-r^{n}}{1-r}\right)\) Show chapters. Question 57. Answer: Question 13. an = 0.4 an-1 + 325 4, 12, 36, 108, . d. 128, 64, 32, 16, 8, 4, . The first 9 terms of the geometric sequence 14, 42, 126, 378, . n = -64/3 .. an = 5, an = an-1 \(\frac{1}{3}\) With the help of step-by-step explanative . + (-3 4n) = -507 If n= 2. 2, 0, 3, 7, 12, . a4 = 4/2 = 16/2 = 8 . Then find the total number of squares removed through Stage 8. Much DO you SEE it = 15 409416 ) random listener is asked trivia... Types of problems, you deposit $ 2000 in a geometric sequence from its?... For thousands of practice problems, you can take the guesswork out of studying and move forward with.! 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