is geometric. . Question 1. Thus the amount of chlorine in the pool over time is 1333. Work with a partner. \(\sum_{i=1}^{5}\)7i Answer: Question 3. Answer: Question 47. D. 10,000 Question 5. COMPARING METHODS Then graph the sequence. a. c. \(\frac{1}{4}, \frac{4}{4}, \frac{9}{4}, \frac{16}{4}, \frac{25}{4}, \ldots\) Answer: Determine whether the graph represents an arithmetic sequence, geometric sequence, or neither. Answer: Question 12. Find \(\sum_{n=1}^{\infty}\)an. a17 = 5, d = \(\frac{1}{2}\) Write a rule for bn. Answer: Write an explicit rule for the sequence. Answer: Answer: Question 15. In a sequence, the numbers are called __________ of the sequence. Question 7. a. Answer: Question 6. Answer: Solve the equation. The variables x and y vary inversely. Math. What is the approximate frequency of E at (labeled 4)? Question 75. COMPLETE THE SENTENCE 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, . a1 = 32, r = \(\frac{1}{2}\) MATHEMATICAL CONNECTIONS S39 = 152.1. Answer: Question 64. 441450). A towns population increases at a rate of about 4% per year. Answer: Question 59. Question 4. Do the perimeters and areas form geometric sequences? Match each sequence with its graph. Explain your reasoning. Answer: Question 56. The process involves removing smaller squares from larger squares. . Answer: Question 20. . Write a recursive rule for the number an of members at the start of the nth year. S = 2/(1-2/3) . a1 = 1 1 = 0 4, 8, 12, 16, . Which rule gives the total number of squares in the nth figure of the pattern shown? Then graph the sequence. Algebra; Big Ideas Math Integrated Mathematics II. Then graph the first six terms of the sequence. Question 66. 4, 6, 9, \(\frac{27}{2}\), . Work with a partner. . What can you conclude? Answer: Question 6. 2n + 5n 525 = 0 Justify your answer. With the help of step-by-step explanative . Explain how to tell whether the series \(\sum_{i=1}^{\infty}\)a1ri1 has a sum. b. All grades BIM Book Answers are available for free of charge to access and download offline. an = 105(3/5)n1 . Answer: Question 68. a. Answer: Question 2. Given, 7x+3=31 . when n = 7 a1 = 1 c. Put the value of n = 12 in the divided formula to get the sum of the interior angle measures in a regular dodecagon. 25, 10, 4, \(\frac{8}{5}\) , . Answer: In Exercises 3138, write the series using summation notation. Parent Functions and Transformations p. 3-10 2. \(\sum_{i=1}^{10}\)4(\(\frac{3}{4}\))i1 Answer: Question 30. What are your total earnings in 6 years? Then graph the first six terms of the sequence. . MODELING WITH MATHEMATICS 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. Then find a9. Answer: Question 63. What happens to the number of books in the library over time? Your friend claims that 0.999 . \(\frac{1}{4}\)x 8 = 17 Answer: Question 5. . Answer: Question 37. Question 71. (7 + 12(5)) + (7 + 12(6)) + . Then remove the center square. Squaring on both sides . The value of each of the interior angle of a 6-sided polygon is 120 degrees. Question 22. How do the answers in Example 7 change when the annual interest rate is 7.5% and the monthly payment is $1048.82? 1, 2, 3, 4, . In an arithmetic sequence, the difference of consecutive terms, called the common difference, is constant. a1 = 12, an = an-1 + 9.1 Each week, 40% of the chlorine in the pool evaporates. MODELING WITH MATHEMATICS . . Answer: Question 4. 5.8, 4.2, 2.6, 1, 0.6 . Answer: Question 14. a2 = 4(2) = 8 Explain. Tell whether the sequence 7, 14, 28, 56, 112, . . . Answer: Question 29. B. a4 = 53 an = 0.6 an-1 + 16 Answer: Question 54. State the rule for the sum of the first n terms of a geometric series. Use the given values to write an equation relating x and y. an = 30 4 Question 32. \(\sum_{i=1}^{n}\)(4i 1) = 1127 b. Sn = 0.1/0.9 The Solutions covered here include Questions from Chapter Tests, Review Tests, Cumulative Practice, Cumulative Assessments, Exercise Questions, etc. Big Ideas Math . a1 = 25 , the common difference is 3. You are saving money for retirement. THOUGHT PROVOKING Write a recursive rule for the number an of books in the library at the beginning of the nth year. What do you notice about the relationship between the terms in (a) an arithmetic sequence and (b) a geometric sequence? Answer: Question 4. . In 1202, the mathematician Leonardo Fibonacci wrote Liber Abaci, in which he proposed the following rabbit problem: Question 11. 3x=198 \(\sum_{n=1}^{20}\)(4n + 6) a1 = 5, an = \(\frac{1}{4}\)an-1 B. Ageometric sequencehas a constant ratiobetweeneach pair of consecutive terms. Find and graph the partial sums Sn for n = 1, 2, 3, 4, and 5. Find the sum of the terms of each geometric sequence. . Justify your answers. \(\sum_{i=3}^{n}\)(3 4i) = 507 recursive rule, p. 442, Core Concepts Question 10. The constant ratio of consecutive terms in a geometric sequence is called the __________. f(n) = \(\frac{1}{2}\)f(n 1) Answer: Question 6. Answer: Question 25. 6 + 36 + 216 + 1296 + . Answer: Describe the pattern, write the next term, graph the first five terms, and write a rule for the nth term of the sequence. MODELING WITH MATHEMATICS What does an represent? Answer: Question 5. a1 = 12, an = an-1 + 16 9, 6, 4, \(\frac{8}{3}\), \(\frac{16}{9}\), . Answer: Question 68. 3 x + 3(2x 3) an = (an-1)2 + 1 . 8 rings? Justify your answer. b. Big ideas math algebra 2 student journal answer key pdf. A sequence is an ordered list of numbers. Then graph the first six terms of the sequence. are called hexagonal numbers because they represent the number of dots used to make hexagons, as shown. Hence the recursive equation is an = 3/5 x an1 . f(n) = 2f (n 1) Given, 1, 4, 7, 10, . a4 = a4-1 + 26 = a3 + 26 = 48 + 26 = 74. Answer: Question 24. a1 = 34 Answer: Find the sum. an = 180(6 2)/6 Recognizing Graphs of Geometric Sequences \(\sum_{k=3}^{6}\)(5k 2) A. n = 15. 3 x + 6x 9 a. a2 = 2/5 (a2-1) = 2/5 (a1) = 2/5 x 26 = 10.4 . Write a rule for the nth term of the sequence 7, 11, 15, 19, . Finding Sums of Infinite Geometric Series Answer: Vocabulary and Core Concept Check The first four iterations of the fractal called the Koch snowflake are shown below. b. f. 8, 4, 2, 1, \(\frac{1}{2}\), . Question 7. 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). Answer: Question 2. How much money do you have in your account immediately after you make your last deposit? The sum of infinite geometric series S = 6. How can you recognize a geometric sequence from its graph? an = an-1 5 Write the first five terms of the sequence. The value of each of the interior angle of a 4-sided polygon is 90 degrees. 3, 6, 9, 12, 15, 18, . 5, 8, 13, 20, 29, . 0.1, 0.01, 0.001, 0.0001, . Answer: Essential Question How can you find the sum of an infinite geometric series? a5 = 2/5 (a5-1) = 2/5 (a4) = 2/5 x 1.664 = 0.6656 Answer: Question 28. Question 4. Answer: In Exercises 2328, write a rule for the nth term of the sequence. 2, 8, 14, 20, . Page 20: Quiz. Does the track shown meet the requirement? Question 4. MAKING AN ARGUMENT 6n + 13n 603 = 0 a12 = 38, a19 = 73 a1 = 4, an = 2an-1 1 Answer: Question 8. . Answer: Question 23. Then verify your rewritten formula by funding the sums of the first 20 terms of the geometric sequences in Exploration 1. . Answer: Mathematically proficient students consider the available tools when solving a mathematical problem. Do the same for a1 = 25. c. 3, 6, 12, 24, 48, 96, . . 800 = 2 + 2n THOUGHT PROVOKING Tn = 1800 degrees. 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. . a. Find the amount of the last payment. Answer: Question 19. Each week you do 10 more push-ups than the previous week. Answer: Question 19. Answer: Question 43. a2 = 3a1 + 1 On the first day, the station gives $500 to the first listener who answers correctly. How many cells are in the honeycomb after the ninth ring is formed? 3, 5, 15, 75, 1125, . a39 = -4.1 + 0.4(39) = 11.5 by an Egyptian scribe. b. f(4) = f(4-1) + 2(4) Explain your reasoning. Given that, . x = 2, y = 9 \(\sum_{i=1}^{12}\)6(2)i1 Write a recursive rule for the sequence 5, 20, 80, 320, 1280, . a. Then graph the function. Question 2. Consider 3 x, x, 1 3x are in A.P. nth term of a sequence a. Question 8. Thus, make use of our BIM Book Algebra 2 Solution Key Chapter 2 . 8.73 Answer: Question 39. a2 = 30, r = \(\frac{1}{2}\) . . . Answer: Question 21. Answer: Question 65. Sixty percent of the drug is removed from the bloodstream every 8 hours. Answer: Question 56. Use the rule for the sum of a finite geometric series to write each polynomial as a rational expression. . Answer: Question 40. A pilot flies a plane at a speed of 500 miles per hour for 4 hours. Question 3. q (x) = x 3 6x + 3x 4. \(\left(\frac{9}{49}\right)^{1 / 2}\) b. Your friend claims the total amount repaid over the loan will be less for Loan 2. What is a rule for the nth term of the sequence? \(\sum_{i=10}^{25}\)i contains infinitely many prime numbers. What happens to the number of trees after an extended period of time? \(\frac{3^{-2}}{3^{-4}}\) Find the balance after the fifth payment. an-1 a1 = 2(1) + 1 = 3 (3n + 64) (n 17) = 0 Answer: . Answer: a. (Hint: L is equal to M times a geometric series.) 2.3, 1.5, 0.7, 0.1, . Sign up. Your friend says it is impossible to write a recursive rule for a sequence that is neither arithmetic nor geometric. Find the sum of the infinite geometric series 2 + \(\frac{1}{2}-\frac{1}{8}+\frac{1}{32}+\cdots\), if it exists. Rule for an Arithmetic Sequence, p. 418 Answer: Question 28. . Answer: Question 12. One of the major sources of our knowledge of Egyptian mathematics is the Ahmes papyrus, which is a scroll copied in 1650 B.C. REWRITING A FORMULA Answer: Question 2. Answer: Question 50. Sn = a1\(\left(\frac{1-r^{n}}{1-r}\right)\) Answer: Question 13. The first term is 7 and each term is 5 more than the previous term. Show chapters. an = 36 3 . 1, 6, 11, 16, . .Terms of a sequence b. Answer: Question 55. a. Categories Big Ideas Math Post navigation. Given, Answer: Question 17. Big Ideas Math Book Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics. Then find the remaining area of the original square after Stage 12. Explain. Based on the BIM Textbooks, our math professional subject experts explained the chapter-wise questions in the BIM Solution Key. Answer: Question 12. Answer: p(x) = \(\frac{3}{x+1}\) 2 Question 23. 1.2, 4.2, 9.2, 16.2, . Mathleaks grants you instant access to expert solutions and answers in Big Ideas Learning's publications for Pre-Algebra, Algebra 1, Geometry, and Algebra 2. What is the minimum number of moves required to move 6 rings? Refer to BIM Algebra Textbook Answers to check the solutions with your solutions. \(\sum_{k=1}^{4}\)3k2 . Check your solution(s). Is the sequence formed by the curve radii arithmetic, geometric, or neither? MAKING AN ARGUMENT \(\sum_{n=0}^{4}\)n3 Answer: Question 3. Answer: 8.4 Finding Sums of Infinite Geometric Series (pp. USING STRUCTURE Step2: Find the sum Order the functions from the least average rate of change to the greatest average rate of change on the interval 1 x 4. The Sum of a Finite Arithmetic Series, p. 420, Section 8.3 Answer: In Exercises 310, tell whether the sequence is arithmetic. y + z = 2 Year 7 of 8: 286 1, 3, 9, 27, . f(x) = \(\frac{1}{x-3}\) When making monthly payments, you are paying the loan amount plus the interest the loan gathers each month. Explain. x = 259. . x=198/3 DRAWING CONCLUSIONS Learn how to solve questions in Chapter 2 Quadratic Functions with the help of the Big Ideas Math Algebra 2 Book Answer Key. Compare your answers to those you obtained using a spreadsheet. This is similar to the linear functions that have the form y=mx +b. -4(n)(n + 1)/2 n = -1127 Year 4 of 8: 146 THOUGHT PROVOKING Answer: Question 38. . Copy and complete the table to evaluate the function. \(\sum_{i=0}^{8}\)8(\(\frac{2}{3}\))i Explain your reasoning. . Part of the pile is shown. Answer: Determine whether the sequence is arithmetic, geometric, or neither. . . . Write an equation that relates and F. Describe the relationship. b. b. . You can find solutions for practice, exercises, chapter tests, chapter reviews, and cumulative assessments. Given, 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. f(n) = \(\frac{1}{2}\)f(n 1) . Answer: Question 12. . an = 0.4 an-1 + 650 for n > 1 Find the total distance flown at 30-minute intervals. . 2\(\sqrt [ 3 ]{ x }\) 13 = 5 Answer: Question 11. a. The function is not a polynomial function because the term 2x -2 has an exponent that is not a whole number. -6 + 10/3 Answer: Write a recursive rule for the sequence. .. . A tree farm initially has 9000 trees. \(\sum_{i=1}^{10}\)9i You add 34 ounces of chlorine the first week and 16 ounces every week thereafter. 3, 5, 7, 9, . b. . Describe the set of possible values for r. Explain your reasoning. Answer: Question 22. 96, 48, 24, 12, 6, . . What logical progression of arguments can you use to determine whether the statement in Exercise 30 on page 440 is true? You make this deposit each January 1 for the next 30 years. Answer: Question 12. Justify your answers. . . REWRITING A FORMULA a2 = 2/2 = 4/2 = 2 . . a4 = 4 1 = 16 1 = 15 Answer: Question 55. Answer: Question 64. -6 5 (2/3) . . Answer: Vocabulary and Core Concept Check Answer: Question 10. S = a1/1-r Answer: Question 62. . Answer: Question 16. . b. Justify your answer. \(\frac{2}{3}, \frac{4}{4}, \frac{6}{5}, \frac{8}{6}, \ldots\) Textbook solutions for BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015 15th Edition HOUGHTON MIFFLIN HARCOURT and others in this series. Question 70. Question 31. Answer: Question 51. . an = a1rn-1. In Exercises 514, write the first six terms of the sequence. . Question 9. Answer: Question 9. Answer: In Exercises 4752, find the sum. . a. Answer: Question 74. Answer: Question 53. a4 = 1/2 8.5 = 4.25 a1 = 4, an = 0.65an-1 81, 27, 9, 3, 1, . Answer: Write a rule for the nth term of the sequence. .. Write a rule for the sequence. . b. 301 = 3n + 1 . Justify your answer. Answer: Question 5. Check out Big Ideas Math Algebra 2 Answers Chapter 8 Sequences and Series aligned as per the Big Ideas Math Textbooks. PROBLEM SOLVING 5 + 6 + 7 +. Answer: Question 61. Answer: A. Write a recursive rule for the sequence whose graph is shown. a6 = -5(a6-1) = -5a5 = -5(-5000) = 25,000. . Question 11. Work with a partner. Answer: Question 30. The length3 of the third loop is 0.9 times the length of the second loop, and so on. To the astonishment of his teacher, Gauss came up with the answer after only a few moments. 7, 1, 5, 11, 17, . . Describe the type of decline. r = 2/3 For example, in the geometric sequence 1, 2, 4, 8, . A running track is shaped like a rectangle with two semicircular ends, as shown. \(2+\frac{4}{3}+\frac{8}{9}+\frac{16}{27}+\frac{32}{81}+\cdots\) \(\frac{1}{2}, \frac{1}{6}, \frac{1}{18}, \frac{1}{54}, \frac{1}{162}, \ldots\) Describe how labeling the axes in Exercises 36 on page 439 clarifies the relationship between the quantities in the problems. . c. Describe what happens to the number of members over time. a1 = -4.1 + 0.4(1) = -3.7 f(n) = \(\frac{n}{2n-1}\) Answer: Question 9. r = a2/a1 . Justify your COMPLETE THE SENTENCE -5 2 \(\frac{4}{5}-\frac{8}{25}-\cdots\) 2, 4, 6, 8, 10, . Answer: Question 8. 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. . Answer: Find the sum. S39 = 39(-3.7 + 11.5/2) 798 = 2n x (3 x) = x 3x x Access the user-friendly solutions . Answer: Question 14. How many seats are in the front row of the theater? Answer: Question 8. In Quadrature of the Parabola, he proved that the area of the region is \(\frac{4}{3}\) the area of the inscribed triangle. Write the first five terms of the sequence. For a 2-month loan, t= 2, the equation is [L(1 + i) M](1 + i) M = 0. Match each sequence with its graph. f(1) = 2, f(2) = 3 You are buying a new house. 58.65 How is the graph of f different from a scatter plot consisting of the points (1, b1), (2, b21 + b2), (3, b1 + b2 + b3), . Explain your reasoning. Find the total number of skydivers when there are four rings. Talk through the examples out loud. a. x=4, Question 5. 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. . . Question 3. Write the first six terms of the sequence. Our subject experts created this BIM algebra 2 ch 5 solution key as per the Common core edition BIM Algebra 2 Textbooks. . For a 1-month loan, t= 1, the equation for repayment is L(1 +i) M= 0. First, assume that, Write the first six terms of the sequence. 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: 15, 9, 3, 3, 9, . 2, 14, 98, 686, 4802, . HOW DO YOU SEE IT? . Answer: Question 2. Then describe what happens to Sn as n increases. Find the total number of games played in the regional soccer tournament. f(3) = \(\frac{1}{2}\)f(2) = 1/2 5/2 = 5/4 b. \(\sum_{i=2}^{7}\)(9 i3) In April of 1965, an engineer named Gordon Moore noticed how quickly the size of electronics was shrinking. an = an-1 + d . . Answer: Question 69. b. \(\sum_{i=1}^{n}\)1 = n Then write a rule for the nth term of the sequence, and use the rule to find a10. a4 = 4(96) = 384 Which rule gives the total number of green squares in the nth figure of the pattern shown? Rule for a Geometric Sequence, p. 426 Memorize the different types of problems, formulas, rules, and so on. Each year, the company loses 20% of its current members and gains 5000 new members. 2 + \(\frac{6}{4}+\frac{18}{16}+\frac{54}{64}+\cdots\) The Sum of a Finite Geometric Series, p. 428. Answer: In Exercises 1320, write a rule for the nth term of the sequence. Question 4. Use a spreadsheet to help you answer the question. 301 = 4 + (n 1)3 Writing a Recursive RuleWork with a partner. Write a rule for the number of soccer balls in each layer. an = 1.0096 an-1 when n = 6 3 + \(\frac{5}{2}+\frac{25}{12}+\frac{125}{72}+\cdots\) Writing a Conjecture 213 = 2n-1 = 39(3.9) One term of an arithmetic sequence is a12 = 43. Explain your reasoning. n = -49/2 . Answer: Explain. Work with a partner. Answer: Solve the equation. Graph of a geometric sequence behaves like graph of exponential function. Answer: Question 10. You borrow the remaining balance at 10% annual interest compounded monthly. Question 2. a1 = 2 Step1: Find the first and last terms By this, you can finish your homework problems in time. a8 = 1/2 0.53125 = 0.265625 y = 3 2x Answer: Question 66. Question 3. Answer: Question 31. . Answer: Question 19. THOUGHT PROVOKING HOW DO YOU SEE IT? . an = r x an1 . 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 Answer: Question 30. The next term is 3 x, x, 1 3x Use the diagram to determine the sum of the series. . Then find a7. c. 800 = 4 + (n 1)2 Answer: In Exercises 4148, write an explicit rule for the sequence. . an = (n-1) x an-1 Answer: Question 57. An employee at a construction company earns $33,000 for the first year of employment. Suppose the spring has infinitely many loops, would its length be finite or infinite? Question 27. Assuming this trend continues, what is the total profit the company can make over the course of its lifetime? a. = 33 + 12 an = 0.6 an-1 + 16 S = 6 Answer: Question 6. . Answer: Question 45. Answer: Question 16. f(4) = \(\frac{1}{2}\)f(3) = 1/2 5/4 = 5/8 . ABSTRACT REASONING Find the population at the end of each year. 0.555 . , 800 , the common ratio is 2. a1 = 8, an = -5an-1. You accept a job as an environmental engineer that pays a salary of $45,000 in the first year. Answer: Question 8. 8 x 2197 = -125 Question 7. Answer: Vocabulary and Core Concept Check With expert solutions for thousands of practice problems, you can take the guesswork out of studying and move forward with confidence. b. . . Answer: Question 2. Solve both of these repayment equations for L. \(\frac{1}{4}, \frac{1}{16}, \frac{1}{64}, \frac{1}{256}, \frac{1}{1024}, \ldots\) You take a job with a starting salary of $37,000. (The figure shows a partially completed spreadsheet for part (a).). a2 = 2 = 1 x 2 = 1 x a1. You begin an exercise program. Given that, 216 = 3(x + 6) The frequencies (in hertz) of the notes on a piano form a geometric sequence. Write a rule for the number of games played in the nth round. You sprain your ankle and your doctor prescribes 325 milligrams of an anti-in ammatory drug every 8 hours for 10 days. The common difference is 8. . Question 3. \(\sum_{n=1}^{\infty} 3\left(\frac{5}{4}\right)^{n-1}\) If the graph increases it increasing geometric sequence if its decreases decreasing the sequence. How many transistors will be able to fit on a 1-inch circuit when you graduate from high school? Answer: Question 11. Write a recursive rule for the amount of chlorine in the pool at the start of the nth week. Answer: Question 18. Question 61. Justify your answers. Additionally, much of Mathleak's content is free to use. For a display at a sports store, you are stacking soccer balls in a pyramid whose base is an equilateral triangle with five layers. 36, 18, 9, \(\frac{9}{2}\), \(\frac{9}{4}\), . f(0) = 10 What was his prediction? So, it is not possible \(\sum_{n=1}^{16}\)n A. an = 51 + 8n 1, 1, 3, 5, 7, . Answer: 8.2 Analyzing Arithmetic Sequences and Series (pp. So, it is not possible Moores prediction was accurate and is now known as Moores Law. You want to save $500 for a school trip. a6 = 4( 1,536) = 6,144, Question 24. Question 21. Answer: Question 30. \(\frac{1}{10}, \frac{3}{20}, \frac{5}{30}, \frac{7}{40}, \ldots\) f(0) = 10 Question 31. The first 9 terms of the geometric sequence 14, 42, 126, 378, . Your employer offers you an annual raise of $1500 for the next 6 years. Question 1. \(\frac{1}{2}+\frac{1}{6}+\frac{1}{18}+\frac{1}{54}+\frac{1}{162}+\cdots\) We cover textbooks from publishers such as Pearson, McGraw Hill, Big Ideas Learning, CPM, and Houghton Mifflin Harcourt. an = 180(n 2)/n a2 = a1 5 = 1-5 = -4 Explain your reasoning. Answer: Question 27. Which graph(s) represents an arithmetic sequence? Find the length of the spring, if possible. Answer: Question 22. Loan 2 is a 30-year loan with an annual interest rate of 4%. Answer: Question 11. a21 = 25, d = \(\frac{3}{2}\) The annual interest rate of the loan is 4%. is equal to 1. Tell whether the function represents exponential growth or exponential decay. 2\(\sqrt [ 3 ]{ x }\) 13 = 5 Answer: a2 = 28, a5 = 1792 One term of an arithmetic sequence is a12 = 19. Year 5 of 8: 183 MODELING WITH MATHEMATICS The Sierpinski carpet is a fractal created using squares. . Then graph the sequence and classify it as arithmetic, geometric, or neither. an = 1333 Answer: Question 3. Answer: Question 12. Answer: 10-10 = 1 . Justify your answer. . 1 + 0.1 + 0.01 + 0.001 + 0.0001 +. 7n 28 + 6n + 6n 120 = 455 0.222 . Justify your answer. Look back at the infinite geometric series in Exploration 1. The first week you do 25 push-ups. Question 5. a. High School Big Ideas Math Answers. Find a0, the minimum amount of money you should have in your account when you retire. Question 39. Answer: Question 3. Recursive Equations for Arithmetic and Geometric Sequences, p. 442 Answer: Question 62. Write a recursive rule for the sequence. You borrow $10,000 to build an extra bedroom onto your house. \(\frac{1}{4}, \frac{2}{4}, \frac{3}{4}, \frac{4}{4}, \ldots\) Question 2. In a geometric sequence, the ratio of any term to the previous term, called the common ratio, is constant. 4 + 7 + 12 + 19 + . C. an = 4n Solutions available . A fractal tree starts with a single branch (the trunk). a5 = 48 = 4 x 12 = 4 x a4. Assume that the initial triangle has an area of 1 square foot. an = 60 Answer: Question 69. Since 1083.33/541.6 2, the maintenance level doubles when the dose is doubled. Answer: Find the sum 216=3(x+6) Enter each geometric series in a spreadsheet. Also, the maintenance level is 1083.33 Answer: Solve the system. M = L\(\left(\frac{i}{1-(1+i)^{-t}}\right)\). Answer: Core Concepts -18 + 10/3 WHAT IF? Question 1. Answer: Question 14. . The monthly payment is $173.86. In a sequence, the numbers are called the terms of the sequence. WHAT IF? Answer: Question 52. Describe the pattern, write the next term, and write a rule for the nth term of the sequence. 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. b. x + y + 4z =1 Question 4. Question 5. You borrow $2000 at 9% annual interest compounded monthly for 2 years. Formulas for Special Series, p. 413, Section 8.2 You add chlorine to a swimming pool. Answer: In Exercises 310, write the first six terms of the sequence. Answer: Question 60. . . \(\sum_{i=1}^{8}\)5(\(\frac{1}{3}\))i1 Answer: Question 3. 6, 12, 36, 144, 720, . . Each week, 40% of the chlorine in the pool evaporates. Answer: Question 18. 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. Write a rule giving your salary an for your nth year of employment. , 10-10 Write a recursive rule for the balance an of the loan at the beginning of the nth month. Big Ideas Math Book Algebra 2 Answer Key Chapter 1 Linear Functions. b. Answer: c. 2, 4, 6, 8, . Explain your reasoning. x=28/7 0.3, 1.5, 7.5, 37.5, 187.5, . Answer: Question 11. Substitute n = 30 in the above recursive rule and simplify to get the final answer. 1, 2, 4, 8, 16, . How many apples are in the ninth layer? . Question 7. \(\sum_{i=1}^{7}\)16(0.5)t1 425432). Answer: Question 3. Cubing on both sides .. Then find a15. Answer: Question 19. \(\sum_{n=1}^{18}\)n2 Write a formula to find the sum of an infinite geometric series. Each year, 2% of the books are lost or discarded. 0, 1, 3, 7, 15, . Question 10. 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. Then find the sum of the series. Answer: Question 2. Then describe what happens to Sn as n increases. Question 13. 7x=28 b. More textbook info . Question 3. . In Example 3, suppose the pendulum travels 10 inches on its first swing. Question 5. Write a rule for the arithmetic sequence with the given description. Answer: = 23 + 10 Answer: Question 58. Answer: In Exercises 3138, write a rule for the nth term of the arithmetic sequence. Answer: Performance Task: Integrated Circuits and Moore s Law. \(\sum_{n=1}^{9}\)(3n + 5) a2 =48, a5 = \(\frac{3}{4}\) . . THOUGHT PROVOKING Question 9. an = 120 . Answer: Question 14. Answer: Question 17. \(\sum_{i=1}^{5}\) 8i 27, 9, 3, 1, \(\frac{1}{3}\), . \(\frac{1}{20}, \frac{2}{30}, \frac{3}{40}, \frac{4}{50}, \ldots\) How can you define a sequence recursively? 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. Question 49. . A town library initially has 54,000 books in its collection. Answer: Question 16. . \(\sum_{i=1}^{n}\)(3i + 5) = 544 Question 23. Draw diagrams to explain why this rule is true. Question 59. a2 = 3 25 + 1 = 76 The monthly payment is $91.37. = 2/5 x 1.664 = 0.6656 answer: new members anti-in ammatory drug every hours. 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