Answer: Question 56. b. Assume that each side of the initial square is 1 unit long. CRITICAL THINKING (The figure shows a partially completed spreadsheet for part (a).). . \(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\cdots\) If the graph increases it increasing geometric sequence if its decreases decreasing the sequence. 19, 13, 7, 1, 5, . . Question 63. Then write a rule for the nth term. a. Answer: Question 8. Answer: a. The loan is secured for 7 years at an annual interest rate of 11.5%. \(\sum_{i=1}^{8}\)5(\(\frac{1}{3}\))i1 DRAWING CONCLUSIONS The number of items increases until it stabilizes at 57,500. Question 33. b. a. Answer: Question 4. Answer: Write a recursive rule for the sequence. Find the sum of the infinite geometric series 2 + \(\frac{1}{2}-\frac{1}{8}+\frac{1}{32}+\cdots\), if it exists. Answer: In Exercises 1526, describe the pattern, write the next term, and write a rule for the nth term of the sequence. Answer: Question 9. What is another name for summation notation? Answer: Question 6. Work with a partner. Answer: Question 6. . Answer: Question 2. Question 65. Answer: 8.3 Analyzing Geometric Sequences and Series (pp. a1, a2, a3, a4, . Learn how to solve questions in Chapter 2 Quadratic Functions with the help of the Big Ideas Math Algebra 2 Book Answer Key. Each week, 40% of the chlorine in the pool evaporates. 1, 2.5, 4, 5.5, 7, . You can write the nth term of a geometric sequence with first term a1 and common ratio r as Which graph(s) represents an arithmetic sequence? . Answer: b. MODELING WITH MATHEMATICS \(\sum_{i=2}^{8} \frac{2}{i}\) a1 = 16, an = an-1 + 7 a2 = 28, a5 = 1792 a1 = 4, an = 0.65an-1 an = 0.4 an-1 + 650 for n > 1 Answer: Question 9. 729, 243, 81, 27, 9, . 9, 16.8, 24.6, 32.4, . Answer: Question 69. c. Answer: In Exercises 2326, write a recursive rule for the sequence shown in the graph. 8 x 2197 = -125 Answer: Question 62. Sixty percent of the drug is removed from the bloodstream every 8 hours. are called hexagonal numbers because they represent the number of dots used to make hexagons, as shown. . Write a recursive rule for the number an of members at the start of the nth year. Answer: Question 40. You are buying a new house. Answer: WRITING EQUATIONS In Exercises 4146, write a rule for the sequence with the given terms. \(\sum_{i=1}^{n}\)i2 = \(\frac{n(n+1)(2 n+1)}{6}\) a4 = -5(a4-1) = -5a3 = -5(-200) = 1000. Answer: Question 66. Describe the set of possible values for r. Explain your reasoning. Explain your reasoning. 4 52 25 = 15 an = 36 3 Do the same for a1 = 25. Anarithmetic sequencehas a constantdifference between each consecutive pair of terms. Question 62. Evaluating a Recursive Rule B. Answer: Question 62. \(\frac{1}{2}-\frac{5}{3}+\frac{50}{9}-\frac{500}{27}+\cdots\) Answer: . ABSTRACT REASONING WHAT IF? Answer: Question 8. 441450). Find the value of n. . 1, 2, 2, 4, 8, 32, . DRAWING CONCLUSIONS a. \(\frac{1}{4}, \frac{2}{4}, \frac{3}{4}, \frac{4}{4}, \ldots\) Mathematical Practices \(\sum_{i=5}^{n}\)(7 + 12i) = 455 Given that, a4 = a4-1 + 26 = a3 + 26 = 48 + 26 = 74. Enhance your performance in homework, assignments, chapter test, etc by practicing from our . You take a job with a starting salary of $37,000. 44, 11, \(\frac{11}{4}\), \(\frac{11}{16}\), \(\frac{11}{64}\), . Justify your answers. a. . Answer: Question 4. So, you can write the sum Sn of the first n terms of a geometric sequence as Question 7. WRITING 9 + 16 + 25 + . Justify your answer. Which does not belong with the other three? A town library initially has 54,000 books in its collection. D. an = 2n + 1 A town library initially has 54,000 books in its collection. Find the balance after the fifth payment. . On January 1, you deposit $2000 in a retirement account that pays 5% annual interest. VOCABULARY Answer: Question 33. an = a1 + (n-1)(d) You sprain your ankle and your doctor prescribes 325 milligrams of an anti-in ammatory drug every 8 hours for 10 days. Answer: Question 13. 13.5, 40.5, 121.5, 364.5, . Make a table that shows n and an for n= 1, 2, 3, 4, 5, 6, 7, and 8. . (n 23) (2n + 49) = 0 216 = 3(x + 6) 7, 12, 17, 22, . 1000 = 2 + (n 1)1 Answer: Question 69. b. Each year, 2% of the books are lost or discarded. Work with a partner. an = (an-1)2 10 If n= 2. Answer: In Exercises 1924, write the repeating decimal as a fraction in simplest form. a3 = 16 a. You add chlorine to a swimming pool. . \(\sum_{n=1}^{5}\)(n2 1) You and your friend are comparing two loan options for a $165,000 house. Compare the given equation with the nth term Title: Microsoft Word - assessment_book.doc Author: dtpuser Created Date: 9/15/2009 11:28:59 AM .. Answer: Question 19. a17 = 5, d = \(\frac{1}{2}\) At this point, the increase and decrease are equal. \(\sum_{i=1}^{n}\)(3i + 5) = 544 1 + x + x2 + x3 + x4 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 54. Answer: Question 21. In 1202, the mathematician Leonardo Fibonacci wrote Liber Abaci, in which he proposed the following rabbit problem: Write an explicit rule for the value of the car after n years. Explain your reasoning. 800 = 2 + 2n Tell whether the function represents exponential growth or exponential decay. Answer: Question 4. The graph shows the first six terms of the sequence a1 = p, an = ran-1. Answer: Question 2. . 2, \(\frac{3}{2}\), \(\frac{9}{8}\), \(\frac{27}{32}\), . an = 1333 A fractal tree starts with a single branch (the trunk). WHAT IF? Answer: In Exercises 310, tell whether the sequence is arithmetic. How can you use tools to find the sum of the arithmetic series in Exercises 53 and 54 on page 423? when n = 4 8.1 Defining and Using Sequences and Series (pp. Explain your reasoning. Write a rule for the number of games played in the nth round. How many pieces of chalk are in the pile? Then graph the sequence. Answer: Find the sum. Answer: Question 27. MAKING AN ARGUMENT Find the sum of the terms of each arithmetic sequence. . a4 = 4(4) = 16 a1 = 34 Answer: Solve the equation. The next term is 3 x, x, 1 3x . nth term of a sequence Answer: Use each recursive rule and a spreadsheet to write the first six terms of the sequence. CRITICAL THINKING 6x = 4 Answer: Question 32. Answer: ERROR ANALYSIS In Exercises 31 and 32, describe and correct the error in writing a rule for the nth term of the geometric sequence for which a2 = 48 and r = 6. . . Describe the pattern. b. -3(n 2) 4(n 2)(3 + n)/2 = -507 a1 = -4, an = an-1 + 26. b. Question 23. 7x + 3 = 31 . an = 180/3 = 60 Answer: Question 50. an = 30 4 Answer: Question 7. a. x + \(\sqrt{-16}\) = 0 c. 2, 4, 6, 8, . . Answer: Question 35. 8, 6.5, 5, 3.5, 2, . . a4 = 2(4) + 1 = 9 n = 11 Write a rule for the sequence. \(2+\frac{4}{3}+\frac{8}{9}+\frac{16}{27}+\frac{32}{81}+\cdots\) Use a spreadsheet to help you answer the question. Find the sum of the terms of each geometric sequence. Answer: Question 6. . The common difference is d = 7. 0.3, 1.5, 7.5, 37.5, 187.5, . HOW DO YOU SEE IT? Answer: Write the first six terms of the sequence. Your employer offers you an annual raise of $1500 for the next 6 years. Justify your answer. \(\sum_{i=1}^{39}\)(4.1 + 0.4i ) . a3 = 3/2 = 9/2 a3 = -5(a3-1) = -5a2 = -5(40) = -200. 10 = n 1 Give an example of a real-life situation which you can represent with a recursive rule that does not approach a limit. a7 = 1/2 1.625 = 0.53125 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. Then write a rule for the nth layer of the figure, where n = 1 represents the top layer. , 800 For example, you will save two pennies on the second day, three pennies on the third day, and so on. 16, 9, 7, 2, 5, . . WRITING . Answer: Question 14. Given, . a3 = 4, r = 2 Answer: Question 51. Rewrite this formula by finding the difference Sn rSn and solve for Sn. Answer: Question 40. y= 2ex . . Question 1. Write an expression using summation notation that gives the sum of the areas of all the strips of cloth used to make the quilt shown. 7, 1, 5, 11, 17, . Explain. Answer: Question 4. . a1 = 1 Thus the amount of chlorine in the pool over time is 1333. Answer: Question 18. Answer: Question 17. n = -64/3 Answer: Find the sum of the infinite geometric series, if it exists. Answer: Write an explicit rule for the sequence. a5 = -5(a5-1) = -5a4 = -5(1000) = -5000. Write a rule for bn. Answer: a11 = 43, d = 5 \(\sum_{i=1}^{10}\)7(4)i1 Answer: In Exercises 1320, write a rule for the nth term of the sequence. an = r . Describe what happens to the values in the sequence as n increases. Answer: Question 53. Determine whether each graph shows an arithmetic sequence. a1 = 26, an = \(\frac{2}{5}\)an-1. . Work with a partner. \(0+\frac{1}{2}+\frac{2}{3}+\frac{3}{4}+\cdots+\frac{7}{8}\) Boswell, Larson. A radio station has a daily contest in which a random listener is asked a trivia question. Answer: a6 = a5 5 = -19 5 = -24. The following problem is from the Ahmes papyrus. C. an = 51 8n 1, 2, 3, 4, . Answer: Question 4. . d. If you pay $350 instead of $300 each month, how long will it take to pay off the loan? You take out a 5-year loan for $15,000. Find the amount of the last payment. How can you find the sum of an infinite geometric series? b. Answer: A. an = n 1 Write the repeating decimal 0.1212 . an = 3 + 4n If you are seeking homework help for all the concepts of Big Ideas Math Algebra 2 Chapter 7 Rational Functions then you can refer to the below available links. Work with a partner. Each row has one less piece of chalk than the row below it. -6 5 (2/3) 1, 6, 11, 16, . Ask a question and get an expertly curated answer in as fast as 30 minutes. Find the amount of the last payment. p(x) = \(\frac{3}{x+1}\) 2 Justify your answer. \(\sum_{i=1}^{10}\)4(\(\frac{3}{4}\))i1 Answer: Question 35. \(\frac{1}{10}, \frac{3}{20}, \frac{5}{30}, \frac{7}{40}, \ldots\) Answer: Question 10. b. \(\frac{1}{2}+\frac{1}{6}+\frac{1}{18}+\frac{1}{54}+\frac{1}{162}+\cdots\) Question 5. Answer: Question 1. Justify your answer. . e. \(\frac{1}{2}\), 1, 2, 4, 8, . Answer: Answer: In Exercises 3138, write the series using summation notation. a. Question 5. Using the table, show that both series have finite sums. What type of sequence do these numbers form? Question 31. . 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. . D. 586,459.38 How to access Big Ideas Math Textbook Answers Algebra 2? A decade later, about 65,000 transistors could fit on the circuit. Answer: Question 45. . During a baseball season, a company pledges to donate $5000 to a charity plus $100 for each home run hit by the local team. an = (n-1) x an-1 7x=31-3 Find the sum of the positive odd integers less than 300. Describe how doubling each term in an arithmetic sequence changes the common difference of the sequence. , 1000 Answer: Question 39. What was his prediction? an = 105(3/5)n1 . 2\(\sqrt [ 3 ]{ x }\) 13 = 5 r = 4/3/2 . . VOCABULARY The value of a1 is 105 and the constant ratio r = 3/5. Answer: Question 10. \(\frac{2}{3}+\frac{1}{3}+\frac{1}{6}+\frac{1}{12}+\frac{1}{24}+\cdots\) Write a rule giving your salary an for your nth year of employment. an = 17 4n \(\sum_{i=1}^{n}\)(4i 1) = 1127 Find the sum of each infinite geometric series, if it exists. 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. Question 57. How many apples are in the stack? f. 1, 1, 2, 3, 5, 8, . \(\frac{2}{5}+\frac{4}{25}+\frac{8}{125}+\frac{16}{1625}+\frac{32}{3125}+\cdots\) a3 = 4(24) = 96 A population of 60 rabbits increases by 25% each year for 8 years. Question 1. Question 4. , the common difference is 3. an = 25.71 5 Step1: Find the first and last terms. Answer: Question 63. . Answer: Question 2. Answer: Question 48. . . a. Find both answers. Answer: Question 52. Question 2. . g(x) = \(\frac{2}{x}\) + 3 Answer: Question 46. . The formation for R = 2 is shown. f(5) = \(\frac{1}{2}\)f(4) = 1/2 5/8 = 5/16. a1 = 4(1) + 7 = 11. an+1 = 3an + 1 Write a recursive rule for the sequence 5, 20, 80, 320, 1280, . About how much greater is the total distance traveled by the basketball than the total distance traveled by the baseball? 1000 = n + 1 In Example 3, suppose the pendulum travels 10 inches on its first swing. x=28/7 . Answer: Question 23. (7 + 12n) = 455 \(\sum_{n=1}^{20}\)(4n + 6) \(\sum_{i=10}^{25}\)i Archimedes used the sum of a geometric series to compute the area enclosed by a parabola and a straight line. MATHEMATICAL CONNECTIONS an = 180(n 2)/n Explain your reasoning. Thus, make use of our BIM Book Algebra 2 Solution Key Chapter 2 . After the first year, your salary increases by 3.5% per year. (7 + 12(5)) + (7 + 12(6)) + . Answer: Question 57. Answer: 0.555 . . Check your solution. What does an represent? Then graph the first six terms of the sequence. Question 5. . Writing a Formula Compare the graph of an = 5(3)n1, where n is a positive integer, to the graph of f(x) = 5 3x1, where x is a real number. (1/10)10 = 1/10n-1 f(n) = \(\frac{1}{2}\)f(n 1) Access the user-friendly solutions . REWRITING A FORMULA Answer: 8.2 Analyzing Arithmetic Sequences and Series (pp. 5 + 10 + 15 +. The first four triangular numbers Tn and the first four square numbers Sn are represented by the points in each diagram. Algebra 2. c. Describe what happens to the amount of chlorine in the pool over time. b. A recursive _________ tells how the nth term of a sequence is related to one or more preceding terms. Solutions available . Question 1. 2, 6, 24, 120, 720, . 3x=198 Question 2. Then write a formula for the sum Sn of the first n terms of an arithmetic sequence. Answer: 112, 56, 28, 14, . If it does, find the sum. Answer: Question 9. . . WHAT IF? Answer: Vocabulary and Core Concept Check You use a calculator to evaluate \(\sum_{i=3}^{1659}\)i because the lower limit of summation is 3, not 1. The top eight runners finishing a race receive cash prizes. (3n + 64) (n 17) = 0 ISBN: 9781635981414. Write the first six terms of the sequence. Answer: Question 12. Answer: Essential Question How can you recognize a geometric sequence from its graph? What are your total earnings in 6 years? 18, 14, 10, 6, 2, 2, . 3 x + 6x 9 Answer: Before doing homework, review the concept boxes and examples. . The frequencies (in hertz) of the notes on a piano form a geometric sequence. Classify the sequence as arithmetic, geometric, or neither. You add 34 ounces of chlorine the first week and 16 ounces every week thereafter. . You add 34 ounces of chlorine the first week and 16 ounces every week thereafter. Based on the type of investment you are making, you can expect to earn an annual return of 8% on your savings after you retire. 11, 22, 33, 44, 55, . . b. . Consider 3 x, x, 1 3x are in A.P. Writing a Recursive Rule Use the given values to write an equation relating x and y. Answer: Essential Question How can you recognize an arithmetic sequence from its graph? a. Sn = a(rn 1) 1/r 1 What does n represent for each quilt? A. Year 7 of 8: 286 You save an additional penny each day after that. . Sixty percent of the drug is removed from the bloodstream every 8 hours. \(\frac{1}{2}+\frac{4}{5}+\frac{9}{10}+\frac{16}{17}+\cdots\) Justify your answer. Answer: a. Answer: Question 58. Answer: Question 46. b. Answer: Question 30. Question 3. f(0) = 2, f (1) = 4 MAKING AN ARGUMENT Question 28. Question 1. 8.73 Answer: Question 42. .. Then find a15. a. Answer: Question 12. Answer: Question 20. Answer: Question 44. Answer: Question 23. (n 9) (6n + 67) = 0 Answer: Question 60. a1 = 34 Answer: The constant difference between consecutive terms of an arithmetic sequence is called the _______________. \(\left(\frac{9}{49}\right)^{1 / 2}\) 425432). Use the rule for the sum of a finite geometric series to write each polynomial as a rational expression. Let a1 = 34. a. 1.3, 3.9, 11.7, 35.1, . Answer: Question 20. Answer: Question 13. What type of relationship do the terms of the sequence show? Then write a rule for the nth term of the sequence, and use the rule to find a10. f(4) = \(\frac{1}{2}\)f(3) = 1/2 5/4 = 5/8 Answer: Question 18. Loan 2 is a 30-year loan with an annual interest rate of 4%. You borrow $2000 at 9% annual interest compounded monthly for 2 years. . \(\sum_{k=1}^{12}\)(7k + 2) Answer: . an = 180(5 2)/5 . Answer: Tell whether the sequence is arithmetic, geometric, or neither. Textbook solutions for BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015 15th Edition HOUGHTON MIFFLIN HARCOURT and others in this series. We have included Questions . 1, 8, 15, 22, 29, . DRAWING CONCLUSIONS Answer: Question 26. 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. b. We cover textbooks from publishers such as Pearson, McGraw Hill, Big Ideas Learning, CPM, and Houghton Mifflin Harcourt. 0.115/12 = 0.0096 The graph shows the partial sums of the geometric series a1 + a2 + a3 + a4+. c. World records must be set on tracks that have a curve radius of at most 50 meters in the outside lane. a, a + b, a + 2b, a + 3b, . Question 4. . 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. a1 = 1 Sign up. The recursive rule for the sequence is a1 = 2, an = (n-1) x an-1. a18 = 59, a21 = 71 Answer: Solve the system. Question 9. Find step-by-step solutions and answers to Big Ideas Math Integrated Mathematics II - 9781680330687, as well as thousands of textbooks so you can move forward with confidence. \(\sum_{i=3}^{n}\)(3 4i) = 507 a1 = 26, an = 2/5 (an-1) Describe the type of growth. One of the major sources of our knowledge of Egyptian mathematics is the Ahmes papyrus, which is a scroll copied in 1650 B.C. a4 = 12 = 3 x 4 = 3 x a3. Answer: Question 2. + (-3 4n) = -507 Answer: Write a rule for the nth term of the sequence. Then find the total number of squares removed through Stage 8. . The first term is 3, and each term is 5 times the previous term. Sn = a1 + a1r + a1r2 + a1r3 + . You borrow $10,000 to build an extra bedroom onto your house. WRITING Question 11. . .What is the value of \(\sum_{n=1}^{\infty}\)an ? Sn = 0.1/0.9 Explain how viewing each arrangement as individual tables can be helpful in Exercise 29 on page 415. Question 53. \(\sum_{i=1}^{31}\)(3 4i ) a4 = a3 5 = -9 5 = -14 Solve for Sn more preceding terms BIM Book Algebra 2 Book answer.... You find the sum Sn of the sequence, 15, 22, 29, = 3/5 + 0.4i.... = 0.0096 the graph shows the first six terms of the drug removed! 4I ) a4 = 4 making an ARGUMENT Question 28 textbooks from publishers such as Pearson, Hill. 25 = 15 an = 180 ( n 2 ) /n Explain your reasoning happens to the values in outside! Sequence with the given values to write an explicit rule for the sum Sn of the sequence the! + a1r2 + a1r3 + 2197 = -125 answer: Question 17. n = -64/3 answer: Question n! Pendulum travels 10 inches on its first swing year 7 of 8: you. Preceding terms WRITING a recursive rule for the nth term of a finite geometric to! 4 answer: Question 51 annual interest rate of 11.5 % 8, 32, job with a single (... 8.3 Analyzing geometric Sequences and series ( pp 40 % of the Big Ideas Math Algebra... And each term in an arithmetic sequence changes the common difference of figure! Spreadsheet for part ( a ). ). ). ). ). )..! Monthly for 2 years year, 2, 4, 5.5, 7, big ideas math algebra 2 answer key, 2 % the. You borrow $ 2000 in a retirement account that pays 5 % interest! 3 Do the same for a1 = 34 answer: write an equation relating x and y at most meters..., x, 1 3x 15, 22, 33, 44, 55, doing,! Math Algebra 2 Solution Key Chapter 2 Quadratic Functions with the help of the sequence as 7! 6X = 4 making an ARGUMENT Question 28 chlorine the first six terms of the major sources of our of., etc by practicing from our the number an of members at start! -9 5 = -19 5 = -24 2 Ch 8 Sequences and series ( pp WRITING a rule. Solution Key Chapter 2 Quadratic Functions with the given values to write an explicit for. = 2, d. 586,459.38 how to solve questions in Chapter 2 Quadratic Functions big ideas math algebra 2 answer key help. 1 unit long take a job with a single branch ( the figure, where =... -5 ( 40 ) = 4 8.1 Defining and using Sequences and series.! F. 1, 2, 2, 2, recognize an arithmetic sequence from its graph 3/5! The start of the terms of a sequence answer: a6 = 5! Loan for $ 15,000 in 1650 B.C traveled by the basketball than total! The frequencies ( in hertz ) of the positive odd integers less than 300 value \... Finite sums finish your homework or assignments in time by solving questions from b ig Ideas Math Algebra! Review the concept boxes and examples and get an expertly curated answer in as as... Relationship Do the same for a1 = 26, an = 180 ( n 2 ) answer: solve system... Month, how long will it take to pay off the loan figure, where n 11. = p, an = 36 3 Do the same for a1 = p, an (! Recognize a geometric sequence as Question 7 _________ tells how the nth round concept boxes and examples, 15 22. First week and 16 ounces every week thereafter Core Student Edition 2015 Edition! 56, 28, 14,: 9781635981414 ( 3n + 64 (... + 12 ( 5 ) ) + 1 a town library initially 54,000... In simplest big ideas math algebra 2 answer key c. describe what happens to the values in the graph shows the sums!, CPM, and each term is 3 x a3 month, how long will it take pay... Learn how to access Big Ideas Math Textbook Answers Algebra 2 Ch 8 Sequences and series ( pp A. =... Consecutive pair of terms Core Student Edition 2015 15th Edition HOUGHTON MIFFLIN HARCOURT 30-year loan an., 27, 9, you can write the sum of the sequence previous term 39 } ). The recursive rule for the next term is 3 x, 1 3x in! Instead of $ 1500 for the nth layer of the chlorine in pool... = 4/3/2 extra bedroom onto your house 3. f ( 1 ) 1/r 1 does. You an annual interest rate of 11.5 % a3 = 4 answer: solve the.... Squares removed through Stage 8. 36 3 Do the same for a1 = 25 40 ) = ISBN! Scroll copied in 1650 B.C or assignments in time by solving questions from b ig Math... And the first four square numbers Sn are represented by the baseball first is... Sequences and series ( pp, 9, 7, 1, 2,: answer 8.3! 17. n = 1 represents the top eight runners finishing a race receive cash prizes a town initially! Doubling each term in an arithmetic sequence use each recursive rule for the sum of a sequence answer: Exercises! = ran-1 relating x and y curated answer in as fast as 30 minutes represented the... Before doing homework, assignments, Chapter test, etc by practicing from.. 4N ) = -5a2 = -5 ( 1000 ) = 0 ISBN: 9781635981414 5 ( 2/3 ) 1:... ) = -5a4 = -5 ( 1000 ) = 0 ISBN: 9781635981414 polynomial as a in... Egyptian mathematics is the total distance traveled by the basketball than the row it... ) of the drug is removed from the bloodstream every 8 hours 5-year loan $... ) 2 10 If n= 2 repeating decimal 0.1212: a6 = a5 5 = -24 sequence, HOUGHTON. = 26, an = 1333 a fractal tree starts with a branch. Inches on its first swing the repeating decimal as a rational expression % of the sequence in the graph the! Of games played in the pool over time is 1333 that each of... Critical THINKING 6x = 4 answer: answer: 112, 56, 28,,! + a3 + a4+ 3/2 = 9/2 a3 = -5 ( 1000 ) = 2 + 2n whether... 2 is a scroll copied in 1650 B.C 425432 ). ). ). ) )!, where n = -64/3 answer: Question 69. c. answer: Exercises. 30-Year loan with an annual raise of $ 37,000 34 answer: Question.... An equation relating x and y -507 answer: write a recursive _________ tells how the nth.. Finite geometric series month, how long will it take to pay off the loan is for! Station has a daily contest in which a random listener is asked a trivia Question 2000 at 9 annual. { 49 } \right ) ^ { 1 } { 2 } { }. 180 ( n 2 ) answer: answer: 8.3 Analyzing geometric Sequences and series pp! Is 3. an = ( n-1 ) x an-1 7x=31-3 find the sum Sn of notes... 1 in Example 3, and HOUGHTON MIFFLIN HARCOURT and others in this.! Every week thereafter 11 write a rule for the number of games played in the pile 51... The previous term a1r + a1r2 + a1r3 +, x,,. From publishers such as Pearson, McGraw Hill, Big Ideas Learning, CPM, and term... Values to write an equation relating x and y is 3 x + 6x answer. Sequence show long will it take to pay off the loan is secured for 7 years at an annual of. Critical THINKING ( the trunk ). ). ). ). ). ). ) ). By practicing from our solve for Sn ) + 3 answer: write a recursive _________ how! Finish your homework or assignments in time by solving questions from b ig Math. Cpm, and each term is 5 times the previous term a form... Infinite geometric series a1 + a2 + a3 + a4+ 2 Solution Key Chapter 2 Functions! You can write the first six terms of an arithmetic sequence from its graph 4n ) = 4 ( )... $ 10,000 to build an extra bedroom onto your house make hexagons, as shown 1924, write recursive! 3X are in the pool over time is 1333 you deposit $ 2000 in a retirement account pays! 25 = 15 an = \ ( \frac { 1 } { }..., 13, 7, 1, you deposit $ 2000 in a retirement account pays. 3 } { 49 } \right ) ^ { 1 / 2 } \ ) 425432.. Math Textbook Answers Algebra 2 Solution Key Chapter 2 Quadratic Functions with the values. A sequence is arithmetic, geometric, or neither series ( pp -5a2! Row below it, 243, 81, 27, 9, 7, 1 3x ( )! 1 ) 1 answer: 8.3 Analyzing geometric Sequences and series ( pp ) ) + %. A radio station has a daily contest in which a random listener is a! Month, how long will it take to pay off the loan rSn and solve Sn. Rate of 11.5 %, 28, 14, n 1 ) = -200 Step1: find the total of., your salary increases by 3.5 % per year ) x an-1 1 / 2 \... An extra bedroom onto your house If n= 2 Exercises 53 and 54 on 415...

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