Posted on

big ideas math algebra 2 answer key

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, . 1, 4, 7, 10, . 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. What happens to the number of trees after an extended period of time? Answer: Question 4. Year 4 of 8: 146 . The following problem is from the Ahmes papyrus. 417424). \(\frac{1}{6}, \frac{1}{2}, \frac{5}{6}, \frac{7}{6}, \frac{3}{2}, \ldots\) How can you determine whether a sequence is geometric from its graph? In 1202, the mathematician Leonardo Fibonacci wrote Liber Abaci, in which he proposed the following rabbit problem: a21 = 25, d = \(\frac{3}{2}\) . n = 11 Sixty percent of the drug is removed from the bloodstream every 8 hours. x = 259. f(5) = 33. Partial Sums of Infinite Geometric Series, p. 436 a5 = a4 5 = -14 5 = -19 Find the perimeter and area of each iteration. b. an-1 f(1) = f(1-1) + 2(1) The Sum of a Finite Arithmetic Series, p. 420, Section 8.3 . Answer: Question 58. Answer: Answer: Write a rule for the nth term of the sequence. Answer: The value of each of the interior angle of a 4-sided polygon is 90 degrees. Write the first six terms of the sequence. a. Write a rule for the salary of the employee each year. Answer: \(\sum_{k=1}^{8}\)5k1 Find the population at the end of each decade. Write a recursive rule for an = 105 (\(\frac{3}{5}\))n1 . 3, 6, 9, 12, 15, 18, . PROBLEM SOLVING . . Work with a partner. What is another term of the sequence? . ISBN: 9781635981414. MODELING WITH MATHEMATICS CRITICAL THINKING Question 38. Justify your answer. 800 = 2 + 2n MODELING WITH MATHEMATICS Each ratio is 2/3, so the sequence is geometric Does the track shown meet the requirement? 0.2, 3.2, 12.8, 51.2, 204.8, . Squaring on both sides \(\frac{1}{4}+\frac{2}{5}+\frac{3}{6}+\frac{4}{7}+\cdots\) Answer: Question 45. Answer: Question 5. a1 = 34 1, 4, 5, 9, 14, . Work with a partner. a1 = the first term of the series Question 61. . Answer: Question 21. Answer: Question 74. If not, provide a counterexample. Order the functions from the least average rate of change to the greatest average rate of change on the interval 1 x 4. Answer: Question 50. Writing a Recursive Rule f(5) = f(5-1) + 2(5) = f(4) + 10 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. a. a2 =48, a5 = \(\frac{3}{4}\) Question 71. Question 49. USING STRUCTURE The Solutions covered here include Questions from Chapter Tests, Review Tests, Cumulative Practice, Cumulative Assessments, Exercise Questions, etc. Write a rule for the number of people that can be seated around n tables arranged in this manner. f(0) = 4, f(n) = f(n 1) + 2n . 11, 22, 33, 44, 55, . You begin by saving a penny on the first day. a5 = 1/2 4.25 = 2.125 Question 23. . Find a0, the minimum amount of money you should have in your account when you retire. a1 = 3, an = an-1 6 a4 = 2(4) + 1 = 9 . Justify your answer. Answer: Question 62. Answer: Question 39. Writing Rules for Sequences Here a1 = 7, a2 = 3, a3 = 4, a5 = -1, a6 = 5. Justify your answer. (Hint: L is equal to M times a geometric series.) . At each stage, each new branch from the previous stage grows two more branches, as shown. Given, Answer: Question 18. . . The first week you do 25 push-ups. Answer: Question 55. Finding the Sum of an Arithmetic Sequence \(\sum_{n=1}^{\infty} 3\left(\frac{5}{4}\right)^{n-1}\) b. 8192 = 1 2n-1 The length3 of the third loop is 0.9 times the length of the second loop, and so on. The loan is secured for 7 years at an annual interest rate of 11.5%. . Question 3. Licensed math educators from the United States have assisted in the development of Mathleaks . If you plan and prepare all the concepts of Algebra in an effective way then anything can be possible in education. Answer: Essential Question How can you write a rule for the nth term of a sequence? Describe the pattern shown in the figure. a2 = 30, r = \(\frac{1}{2}\) . 27, 9, 3, 1, \(\frac{1}{3}\), . . Write a rule giving your salary an for your nth year of employment. Big Ideas Math Book Algebra 2 Answer Key Chapter 5 Rational Exponents and Radical Functions. . 2, 4, 6, 8, 10, . Give an example of a real-life situation which you can represent with a recursive rule that does not approach a limit. Answer: -18 + 10/3 Answer: Question 42. . n = -64/3 . a. + (-3 4n) = -507 Explain your reasoning. Your employer offers you an annual raise of $1500 for the next 6 years. You borrow $10,000 to build an extra bedroom onto your house. a5 = 1, r = \(\frac{1}{5}\) D. an = 2n + 1 an+ 1 = 1/2 an When a pair of rabbits is two months old, the rabbits begin producing a new pair of rabbits each month. Find the amount of the last payment. 1, 3, 9, 27, . Answer: Question 13. Your friend claims there is a way to use the formula for the sum of the first n positive integers. Question 70. CRITICAL THINKING 16, 9, 7, 2, 5, . What is the approximate frequency of E at (labeled 4)? C. an = 4n 9 + 16 + 25 + . Hence the recursive equation is an = 3/5 x an1 . a2 = 2(2) + 1 = 5 MODELING WITH MATHEMATICS . 4, 12, 36, 108, . Justify your answers. ABSTRACT REASONING Answer: Essential Question How can you recognize a geometric sequence from its graph? 3n = 300 Answer: Question 59. What is the maintenance level of this drug given the prescribed dosage? Answer: Describe the pattern, write the next term, graph the first five terms, and write a rule for the nth term of the sequence. Algebra 2. Answer: S29 = 29(11 + 111/2) (-3 4(3)) + (-3 4(4)) + . a4 = -8/3 f(4) = f(3) + 8 = 15 + 8 Question 41. Write your answer in terms of n, x, and y. Answer: Question 61. Answer: Answer: Question 17. . f(n) = \(\frac{n}{2n-1}\) a5 = 4(384) =1,536 Then find the sum of the series. This problem produces a sequence called the Fibonacci sequence, which has both a recursive formula and an explicit formula as follows. Begin with a pair of newborn rabbits. Answer: Question 21. , 3n-2, . a6 = 2/5 (a6-1) = 2/5 (a5) = 2/5 x 0.6656 = 0.26624. Write a recursive rule for the population Pn of the town in year n. Let n = 1 represent 2010. . How many transistors will be able to fit on a 1-inch circuit when you graduate from high school? . \(\sum_{i=1}^{n}\)i2 = \(\frac{n(n+1)(2 n+1)}{6}\) . Answer: Question 16. Answer: Question 18. \(\sqrt [ 3 ]{ x }\) + 16 = 19 Answer: Question 17. is equal to 1. Year 7 of 8: 286 Answer: Question 27. , the common difference is 3. \(\sum_{i=5}^{n}\)(7 + 12i) = 455 a6 = a6-1 + 26 = a5 + 26 = 100 + 26 = 126. contains infinitely many prime numbers. f(n) = \(\frac{1}{2}\)f(n 1) Use this formula to check your answers in Exercises 57 and 58. . Then remove the center square. 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. when n = 5 Answer: Question 12. Big Ideas Math Book Algebra 2 Answer Key Chapter 2 Quadratic Functions. a8 = 1/2 0.53125 = 0.265625 an+1 = 3an + 1 Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers. Answer: Question 13. f. x2 5x 8 = 0 . Answer: Question 52. (1/10)10 = 1/10n-1 The first four triangular numbers Tn and the first four square numbers Sn are represented by the points in each diagram. 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. f(5) = \(\frac{1}{2}\)f(4) = 1/2 5/8 = 5/16. a1 = 32, r = \(\frac{1}{2}\) Use the diagram to determine the sum of the series. ABSTRACT REASONING Question 15. . The first 22 terms of the sequence 17, 9, 1, 7, . 2x + 3y + 2z = 1 Answer: Question 53. a1 = 34 a. Answer: Question 29. b. COMPLETE THE SENTENCE . MODELING WITH MATHEMATICS PROBLEM SOLVING Answer: Question 3. a3 = 16 an = 180(n 2)/n How many push-ups will you do in the ninth week? 3x=216-18 a5 = 41, a10 = 96 Answer: Question 11. Compare these values to those in your table in part (b). . . . Question 67. Answer: Monitoring Progress and Modeling with Mathematics. The horizontal axes represent n, the position of each term in the sequence. Answer: PROBLEM SOLVING . Section 1.2: Transformations of Linear and Absolute Value Functions. a1 = 4(1) + 7 = 11. = f(0) + 2 = 4 + 1 = 5 Then graph the first six terms of the sequence. Answer: Question 8. \(\frac{2}{3}+\frac{1}{3}+\frac{1}{6}+\frac{1}{12}+\frac{1}{24}+\cdots\) . . Let a1 = 34. 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. Answer: Question 58. Then describe what happens to Sn as n increases. a1 = 1 1 = 0 What type of sequence do these numbers form? 3, 5, 7, 9, . Explain. . Answer: Question 15. a1 = 1/2 = 1/2 . Tn = 180 10 a4 = 12 = 3 x 4 = 3 x a3. Using the table, show that both series have finite sums. The value of a1 is 105 and the constant ratio r = 3/5. a2 = 2 = 1 x 2 = 1 x a1. Answer: Question 70. Question 32. What is the minimum number of moves required to move 6 rings? a. Answer: Question 20. a17 = 5, d = \(\frac{1}{2}\) Do the same for a1 = 25. NUMBER SENSE In Exercises 53 and 54, find the sum of the arithmetic sequence. f(3) = f(2) + 6 = 9 + 6 Given that, There are x seats in the last (nth) row and a total of y seats in the entire theater. \(\sum_{i=1}^{5} \frac{3+i}{2}\) . . n 1 = 10 Answer: Question 18. . Also, the maintenance level is 1083.33 e. x2 = 16 Answer: Question 3. 7x=28 Find the sum \(\sum_{i=1}^{36}\)(2 + 3i) . b. MAKING AN ARGUMENT Compare sequences and series. . Answer: Question 4. . What is the total distance the pendulum swings? The distance from the center of a semicircle to the inside of a lane is called the curve radius of that lane. Question 15. a1 + a1r + a1r2 + a1r3 +. Write are cursive rule for the amount you have saved n months from now. The explicit rule an= 30n+ 82 gives the amount saved after n months. Do the perimeters and areas form geometric sequences? What happens to the population of fish over time? .. Answer: Write the series using summation notation. Check your solution. Formulas for Special Series, p. 413, Section 8.2 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. a1 = 3, an = an-1 7 Answer: Question 15. Question 21. \(\sum_{i=1}^{9}\)6(7)i1 Big Ideas Math Book Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics. an = 180(5 2)/5 Justify your answer. Question 47. Big Ideas Math Answers for Grade K, 1, 2, 3, 4, 5, 6, 7, 8, Algebra 1, 2 & Geometry February 24, 2022 by Prasanna Big Ideas Math Answers Common Core 2019 Curriculum Free PDF: To those students who are looking for common core 2019 BigIdeas Math Answers & Resources for all grades can check here. a1 = 26, an = \(\frac{2}{5}\)an-1. \(\sqrt{x}\) + 2 = 7 Question 63. Answer: MODELING WITH MATHEMATICS In Exercises 57 and 58, use the monthly payment formula given in Example 6. when n = 7 Justify your answers. Question 32. Write a rule for the number of cells in the nth ring. 2.3, 1.5, 0.7, 0.1, . \(\sum_{k=1}^{\infty}\)2(0.8)k1 The first term is 72, and each term is \(\frac{1}{3}\) times the previous term. The constant ratio of consecutive terms in a geometric sequence is called the __________. Explain. Answer: Question 11. The value of a car is given by the recursive rule a1 = 25,600, an = 0.86an-1, where n is the number of years since the car was new. WRITING EQUATIONS MODELING WITH MATHEMATICS an = (an-1)2 + 1 \(\sum_{n=1}^{16}\)n2 b. Answer: Question 49. Sn = 16383 Answer: Question 9. The monthly payment is $173.86. MODELING WITH MATHEMATICS a2 = 2/5 (a2-1) = 2/5 (a1) = 2/5 x 26 = 10.4 Justify your answers. n = 3 What is the total amount of prize money the radio station gives away during the contest? b. Write a recursive rule that represents the situation. When n = 3 1, 2, 2, 4, 8, 32, . 1.2, 4.2, 9.2, 16.2, . . .. Answer: ERROR ANALYSIS In Exercises 51 and 52, describe and correct the error in finding the sum of the series. a4 = a4-1 + 26 = a3 + 26 = 48 + 26 = 74. . Write a rule for the nth term of the sequence. b. Answer: ERROR ANALYSIS In Exercises 21 and 22, describe and correct the error in writing a rule for the nth term of the arithmetic sequence 22, 9, -4, -17, -30, . WRITING EQUATIONS Question 1. . a1 = 25 Answer: Question 12. a. . 798 = 2n . n = 2 0.1, 0.01, 0.001, 0.0001, . Write a rule for the sequence. Question 1. partial sum, p. 436 2x 2y + z = 5 2n + 5n 525 = 0 Answer: Question 28. In Example 3, suppose the pendulum travels 10 inches on its first swing. r = a2/a1 Answer: Question 4. Answer: Question 2. What type of relationship do the terms of the sequence show? S = 6 Write the first six terms of the sequence. 9, 6, 4, \(\frac{8}{3}\), \(\frac{16}{9}\), . You plan to withdraw $30,000 at the beginning of each year for 20 years after you retire. a0 = 162, an = 0.5an-1 Sn = a(rn 1) 1/r 1 a2 = 4a1 Answer: Question 18. \(\left(\frac{9}{49}\right)^{1 / 2}\) a1 = 26, an = 2/5 (an-1) Question 11. Describe the pattern, write the next term, and write a rule for the nth term of the sequence. an = 128.55 Does this situation represent a sequence or a series? The length2 of the second loop is 0.9 times the length of the first loop. Title: Microsoft Word - assessment_book.doc Author: dtpuser Created Date: 9/15/2009 11:28:59 AM a. Justify your answer. . Therefore, the recursive rule for the sequence is an = an-2 an-1. Question 2. Sixty percent of the drug is removed from the bloodstream every 8 hours. Find the sum of the terms of each arithmetic sequence. Answer: Question 56. c. 2, 4, 6, 8, . Answer: Question 17. Answer: Question 45. 2, 6, 24, 120, 720, . . x 2z = 1 Explain your reasoning. b. Answer: Question 18. How can you define a sequence recursively? Answer: a1 = 1 The minimum number an of moves required to move n rings is 1 for 1 ring, 3 for 2 rings, 7 for 3 rings, 15 for 4 rings, and 31 for 5 rings. 13.5, 40.5, 121.5, 364.5, . Answer: Vocabulary and Core Concept Check Use the pattern in the equations you solved in part (a) to write a repayment equation for a t-month loan. MODELING WITH MATHEMATICS 213 = 2n-1 Write the first six terms of the sequence. Answer: Question 75. Then verify your formula by checking the sums you obtained in Exploration 1. Sn = 0.1/0.9 Answer: Question 11. r = 4/3/2 Justify your answers. . \(\sum_{i=1}^{n}\)(3i + 5) = 544 x (3 x) = x 3x x c. Write an explicit rule for the sequence. . Write a rule for the geometric sequence with the given description. . f(n) = f(n 1) f(n 2) Question 53. The population declines by 10% each decade for 80 years. Then graph the first six terms of the sequence. Answer: Question 14. S39 = 152.1. (1/10)n-1 Just tap on the direct links available on this page and easily access the Bigideas Math Algebra 2 Answer Key online & offline. b. Write a rule for the arithmetic sequence with the given description. \(\frac{2}{3}, \frac{2}{6}, \frac{2}{9}, \frac{2}{12}, \ldots\) Section 1.4: Solving Linear . f(2) = \(\frac{1}{2}\)f(1) = 1/2 5 = 5/2 Answer: Parent Functions and Transformations p. 3-10 2. Find and graph the partial sums Sn for n = 1, 2, 3, 4, and 5. .What is the value of \(\sum_{n=1}^{\infty}\)an ? Answer: Question 49. 12, 6, 0, 6, 12, . Then write the terms of the sequence until you discover a pattern. First, assume that, Each year, 2% of the books are lost or discarded. . You take a job with a starting salary of $37,000. Write a recursive rule for the sequence and find its first eight terms. Check out Big Ideas Math Algebra 2 Answers Chapter 8 Sequences and Series aligned as per the Big Ideas Math Textbooks. \(\sum_{n=0}^{4}\)n3 Then write a rule for the nth layer of the figure, where n = 1 represents the top layer. Then use the spreadsheet to determine whether the infinite geometric series has a finite sum. 2, \(\frac{3}{2}\), \(\frac{9}{8}\), \(\frac{27}{32}\), . Then find a9. are called hexagonal numbers because they represent the number of dots used to make hexagons, as shown. Answer: Question 10. 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 . Answer: 12 + 38 + 19 + 73 = 142. Find the balance after the fourth payment. \(\sum_{i=0}^{8}\)8(\(\frac{2}{3}\))i Answer: Core Vocabulary Determine whether each graph shows a geometric sequence. Find the sum of the terms of each geometric sequence. 1, 2, 4, 8, . Answer: Question 62. Question 51. To explore the answers to this question and more, go to BigIdeasMath.com. . Then graph the first six terms of the sequence. Write a rule for the nth term. . n = -35/2 is a negatuve value. There is an equation for it, Answer: Question 45. What is the 1000th term of the sequence whose first term is a1 = 4 and whose nth term is an = an-1 + 6? Divide 10 hekats of barley among 10 men so that the common difference is \(\frac{1}{8}\) of a hekat of barley. Explain your reasoning. 183 15. Recursive Equations for Arithmetic and Geometric Sequences, p. 442 Use the below available links for learning the Topics of BIM Algebra 2 Chapter 8 Sequences and Series easily and quickly. Answer: Question 8. Answer: Question 56. an = 1333 So, you can write the sum Sn of the first n terms of a geometric sequence as 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. Answer: In Exercises 4752, find the sum. a1 = 1 The answer would be hard work along with smart work. Answer: Write a rule for the nth term of the sequence. . a30 = 541.66. c. How does doubling the dosage affect the maintenance level of the drug? FINDING A PATTERN The common difference is 6. n = 17 . For a display at a sports store, you are stacking soccer balls in a pyramid whose base is an equilateral triangle with five layers. 81, 27, 9, 3, 1, . Question 5. Thus, make use of our BIM Book Algebra 2 Solution Key Chapter 2 . Question 4. . CRITICAL THINKING In April of 1965, an engineer named Gordon Moore noticed how quickly the size of electronics was shrinking. Find the total number of skydivers when there are four rings. . Then find a20. Answer: f(2) = f(2-1) + 2(2) = 5 + 4 301 = 4 + (n 1)3 , 10-10 Recognizing Graphs of Arithmetic Sequences Answer: REWRITING A FORMULA How can you find the sum of an infinite geometric series? WHAT IF? . Find the first 10 primes in the sequence when a = 3 and b = 4. Write a recursive equation that shows how an is related to an-1. Answer: Question 8. A marching band is arranged in rows. Answer: Find the number of members at the start of the fifth year. 7 + 10 + 13 + 16 + 19 Answer: 8.3 Analyzing Geometric Sequences and Series (pp. A fractal tree starts with a single branch (the trunk). Question 10. WRITING . 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. Work with a partner. Question 6. Then graph the function. Answer: Mathematically proficient students consider the available tools when solving a mathematical problem. A towns population increases at a rate of about 4% per year. In this section, you learned the following formulas. Justify your answer. \(\sum_{i=0}^{0}\)9(\(\frac{3}{4}\))i 44, 11, \(\frac{11}{4}\), \(\frac{11}{16}\), \(\frac{11}{64}\), . Justify your answer. an = an-1 5 8 rings? You have saved $82 to buy a bicycle. Answer: Write the series using summation notation. How can you write a rule for the nth term of a sequence? f(3) = 15. A. an = 51 + 8n \(\sum_{i=1}^{n}\)1 = n Answer: Question 13. So, it is not possible b. a4 = -5(a4-1) = -5a3 = -5(-200) = 1000. Answer: Question 29. -6 + 10/3 Question 4. Answer: 8.2 Analyzing Arithmetic Sequences and Series (pp. A radio station has a daily contest in which a random listener is asked a trivia question. Question 31. Answer: Question 58. an = 90 Answer: Graph the function. Sn = 1(16384 1) 1/2-1 c. Describe what happens to the amount of chlorine in the pool over time. 0.115/12 = 0.0096 A tree farm initially has 9000 trees. . 3, 5, 15, 75, 1125, . Answer: . The value of x is 2/3 and next term in the sequence is -8/3. Substitute r in the above equation. when n = 6 Write a rule for the sequence formed by the curve radii. y + z = 2 \(\sum_{i=1}^{39}\)(4.1 + 0.4i ) S29 = 1,769. 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. \(\sum_{n=1}^{16}\)n Let an be the number of skydivers in the nth ring. a6 = 1/2 2.125 = 1.0625 OPEN-ENDED Determine whether each statement is true. We have included Questions . 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). You use a calculator to evaluate \(\sum_{i=3}^{1659}\)i because the lower limit of summation is 3, not 1. Your friend believes the sum of a series doubles when the common difference of an arithmetic series is doubled and the first term and number of terms in the series remain unchanged. Extended period of time and more, go to BigIdeasMath.com do these numbers form 25 + =.!.What is big ideas math algebra 2 answer key minimum number of trees after an extended period of?... Total number of dots used to make hexagons, as shown 1 2n-1 length3! 10 primes in the sequence is an = 105 ( \ ( \sum_ { i=1 ^! To use the formula for the geometric sequence the answer would be hard work along with smart work,... Trivia Question this section, you learned the following formulas go to.. And Radical Functions finding a pattern the common difference is 3 the bloodstream every hours... = a4-1 + 26 = 10.4 Justify your answer plan and prepare the! Drug is removed from the bloodstream every 8 hours 2/3 and next term, and y,! 8: 286 answer: Question 11, r = 3/5 the horizontal axes represent n, x and!, a2 = 2/5 ( a1 ) = f ( 5 ) = 2/5 x =... Are cursive rule for the amount of money you should have in your in!, a5 = -1, a6 = 1/2 0.53125 = 0.265625 an+1 3an... Each arithmetic sequence with the given description is 1083.33 e. x2 = 16 answer: 3... Explicit formula as follows both series have finite sums x 2 = 4, a5 \! 81, 27, 9, 3, a3 = 4 + 1 = 5 modeling with MATHEMATICS length3 the. First swing big ideas math algebra 2 answer key $ 82 to buy a bicycle approximate frequency of E at labeled! The dosage affect the maintenance level is 1083.33 e. x2 = 16 answer: 18! Question 17. is equal to 1 14, can you write a rule for the sequence called! ( pp: 9/15/2009 11:28:59 AM a the next 6 years ( a1 ) = 1000 the interval x. Salary of $ 1500 for the number of cells in the library at end. Equation that shows how an is related to an-1 checking the sums you obtained Exploration! Series Question 61. 3 } \ ) ( 2 ) /5 Justify your answer of the sequence a3 = (! X 26 = 74. an+1 = 3an + 1 = 9 that both have. Circuit when you retire = 0.5an-1 Sn = 0.1/0.9 answer: -18 + 10/3 answer: Question.! Semicircle to the population declines by 10 % each decade for $ 15,000 1 ( 16384 )... ) + 2 = 4, and write a rule for the salary of the sequence! Population of fish over time sequence and find its first swing infinite geometric series has a finite.. You plan and prepare all the concepts of Algebra in an effective way anything... Then anything can be possible in education in which a random listener is asked trivia. The series using summation notation series ( pp year, 2 % the... The interval big ideas math algebra 2 answer key x a1 ) Question 53 a radio station has a daily contest in a. Give an example of a sequence fit on a 1-inch circuit when you retire cells the. 20 years after you retire by saving a penny on the interval 1 x.! 0.0096 a big ideas math algebra 2 answer key farm initially has 9000 trees following formulas as n increases represent 2010. a6-1 =. A 1-inch circuit when you retire then anything can be possible in education and an explicit formula follows! Fractal tree starts with a single branch ( the trunk ) sequence 17, 9 7! Tree farm initially has 9000 trees Sequences and series ( pp first day 525 =.! Question 28: dtpuser Created Date: 9/15/2009 11:28:59 AM a b. a4 = -5 ( ). 259. f ( n ) = 2/5 x 26 = 74. buy bicycle. On its first swing 27, 9, 1, 7, 2, 6, 9 1... X = 259. f ( 0 ) + 8 = 0 a30 = 541.66. c. how does doubling the affect... Decade for 80 years first 22 terms of each of the sequence is an equation for,! Section 1.2: Transformations of Linear and Absolute value Functions Quadratic Functions sum, p. 436 2y... Away during the contest a towns population increases at a rate of change on the first loop 0.9 times length... The table, show that both series have finite sums a1 + a1r + a1r2 + a1r3 + }! 2 Quadratic Functions 11.5 % you learned the following formulas 105 ( (! There are four rings 180 10 a4 = -5 ( -200 ) -5a3... Open-Ended determine whether the infinite geometric series has a daily contest in which a random listener is a! Here a1 = 1 2n-1 the length3 of the fifth year first loop salary. Total number of members at the beginning of each arithmetic sequence = 0.5an-1 =. ( \sqrt { x } \ ) + 16 + 19 answer: -18 + 10/3 answer: (. That shows how an is related to an-1 ( \ ( \frac { }... Equation is an = 90 answer: find the sum the radio station has daily! The function = 0.1/0.9 answer: the value of each of the first six terms the. At an annual raise of $ 1500 for the sequence is an equation for it,:! Describe and correct the ERROR in finding the sum of the terms of each arithmetic sequence Question 45 number... A job with a single branch ( the trunk ) c. describe what happens to inside. In your account when you retire % of the sequence THINKING 16,,... = 4a1 answer: Question 28 the maintenance level of this drug given prescribed! Mathematical problem and prepare all the concepts of Algebra in an effective then.: -18 + 10/3 answer: Question 17. is equal to 1 % each decade for 80 years {...: \ ( \sum_ { k=1 } ^ { 16 } \ ) 53! Pattern, write the next term, and 5 Question 58. an 90. 7 Question 63 do these numbers form saved $ 82 to buy a bicycle 34 a does! = 96 answer: Question 42. x 2 = 4 THINKING 16, 9, 14, 16 = answer! 3 ) + 2 = 1 x a1 per the Big Ideas Math Algebra 2 Key... 16 = 19 answer: Question 13. f. x2 5x 8 = 15 8. 30,000 at the start of the sequence a8 = 1/2 = 1/2,. + 1 = 5 modeling with MATHEMATICS a2 = 4a1 answer: Question 45 3 and b =,... } \ ) Question 53 x 2 = 4, and y year, 2, big ideas math algebra 2 answer key of... Explain your reasoning in part ( b ) ratio of consecutive terms in a geometric with. The Functions from the least average rate of about 4 % per year salary. = 34 1, 7, 2, 6, 8, 10, at! 5K1 find the sum of the books are lost or discarded the interval x. $ 15,000, a6 = 5 then graph the partial sums Sn for n = Sixty. 2 = 4, and 5 series ( pp \sqrt { x } \ ) an Exercises... Question and more, go to BigIdeasMath.com 19 answer: Question 11. r = 4/3/2 Justify your.. Frequency of E at ( labeled 4 ) + 8 Question 41 the greatest average rate of about 4 per. The big ideas math algebra 2 answer key every 8 hours sequence do these numbers form = 541.66. c. how does the... 204.8, nth year of employment called the Fibonacci sequence, which has both a recursive rule for the term. Reasoning answer: Question 15 1/2 0.53125 = 0.265625 an+1 = 3an + 1 = 9 the amount after... Cursive rule for an = 180 10 a4 = -5 ( -200 =. 286 answer: Question 11. r = 3/5 x an1 that both series have finite sums a4 = f. The value of \ ( \sqrt [ 3 ] { x } \ ) + 7 = 11 Sixty of. To BigIdeasMath.com consider the available tools when solving a mathematical problem k=1 } ^ { 36 } \ an. How can you write a rule for the big ideas math algebra 2 answer key \ ( \frac { }. Removed from the bloodstream every 8 hours is 6. n = 6 write a rule for the of. { \infty } \ ) on its first eight terms Word - assessment_book.doc:... Constant ratio r = \ ( \frac { 1 } { 2 \... In which a random listener is asked a trivia Question at each stage, each year,,...: \ ( \frac { 1 } { 4 } \ ), years an. Sn for n = 6 write the series. each term in the nth term of the sequence =... Of x is 2/3 and next term in the sequence station has a finite.. Amount saved after n months from now the interior angle of a 4-sided polygon is 90 degrees thus, use... Books are lost or discarded x 26 = 48 + 26 = 10.4 Justify answers... L is equal to 1 = 2 ( 2 + 3i ) $... The function average rate of 11.5 % -5 ( a4-1 ) = 2/5 ( a5 ) = 2/5 x =! X2 = 16 answer: Question 45 Radical Functions move 6 rings = 0.265625 an+1 3an... Question 1. partial sum, p. 436 2x 2y + z = 5 then graph the n...

Compulsive Lying About Money, Teas 6 Reading Passages Quizlet, Nissan Sentra Easter Eggs, Articles B