big ideas math algebra 2 answer key
\(\frac{7}{7^{1 / 3}}\) Answer: Question 13. Question 15. 5, 8, 13, 20, 29, . Explain your reasoning. Evaluating Recursive Rules, p. 442 \(2+\frac{4}{3}+\frac{8}{9}+\frac{16}{27}+\frac{32}{81}+\cdots\) 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. . Question 10. \(\sum_{k=1}^{4}\)3k2 \(\sum_{i=1}^{35}\)1 Answer: Question 4. Compare the terms of a geometric sequence when r > 1 to when 0 < r < 1. r = rate of change. Is your friend correct? Check out the modules according to the topics from Big Ideas Math Textbook Algebra 2 Ch 3 Quadratic Equations and Complex Numbers Solution Key. Answer: Question 2. Answer: Find \(\sum_{n=1}^{\infty}\)an. The first week you do 25 push-ups. a4 = a4-1 + 26 = a3 + 26 = 48 + 26 = 74. Explain your reasoning. Question 23. The first row has three band members, and each row after the first has two more band members than the row before it. Answer: 12 + 38 + 19 + 73 = 142. Write a rule for bn. Here is an example. Recognizing Graphs of Geometric Sequences Answer: Answer: Question 2. 7, 1, 5, 11, 17, . . We cover textbooks from publishers such as Pearson, McGraw Hill, Big Ideas Learning, CPM, and Houghton Mifflin Harcourt. 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. Question 1. Given that More textbook info . . 1 + 0.1 + 0.01 + 0.001 + 0.0001 +. a1 = 12, an = an-1 + 16 Big Ideas Math . an = a1rn-1. \(\sum_{k=3}^{7}\)(k2 1) . 0 + 2 + 6 + 12 +. a4 = a3 5 = -9 5 = -14 Compare the terms of an arithmetic sequence when d > 0 to when d < 0. WHAT IF? Question 9. Write a rule for the number of people that can be seated around n tables arranged in this manner. 2x 3y + z = 4 x = 2, y = 9 The bottom row has 15 pieces of chalk, and the top row has 6 pieces of chalk. What are your total earnings in 6 years? Additionally, much of Mathleak's content is free to use. FINDING A PATTERN Question 1. Question 23. a3 = 4 = 2 x 2 = 2 x a2. . 1, 4, 7, 10, . Write the first six terms of the sequence. f(4) = f(3) + 8 = 15 + 8 Then graph the sequence and classify it as arithmetic, geometric, or neither. 0.1, 0.01, 0.001, 0.0001, . Find the amount of chlorine in the pool at the start of the third week. . b. You are buying a new car. Answer: Solve the equation. Answer: Question 15. Answer: Question 12. Answer: Write a recursive rule for the sequence. . . Use this formula to check your answers in Exercises 57 and 58. 81, 27, 9, 3, 1, . a4 = 2/5 (a4-1) = 2/5 (a3) = 2/5 x 4.16 = 1.664 Answer: Question 20. Question 7. . . Big Ideas Math Book Algebra 2 Answer Key Chapter 2 Quadratic Functions. an = 180(6 2)/6 b. . Write a recursive rule for the population Pn of the town in year n. Let n = 1 represent 2010. WHAT IF? Find the value of n. Algebra 2. . Question 29. 2n(n + 1) + n = 1127 an = 105(3/5)n1 . To the astonishment of his teacher, Gauss came up with the answer after only a few moments. Repeat these steps for each smaller square, as shown below. 9, 6, 4, \(\frac{8}{3}\), \(\frac{16}{9}\), . First, assume that, Use the diagram to determine the sum of the series. . Textbook solutions for BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015 15th Edition HOUGHTON MIFFLIN HARCOURT and others in this series. c. You work 10 years for the company. MATHEMATICAL CONNECTIONS FINDING A PATTERN Year 4 of 8: 146 729, 243, 81, 27, 9, . Use the sequence mode and the dot mode of a graphing calculator to graph the sequence. 3. Answer: Question 63. a18 = 59, a21 = 71 Answer: Find the sum. a3 = 3/2 = 9/2 Use each formula to determine how many rabbits there will be after one year. d. \(\frac{25}{4}, \frac{16}{4}, \frac{9}{4}, \frac{4}{4}, \frac{1}{4}, \ldots\) Answer: Question 9. a4 = -8/3 Then write the area as the sum of an infinite geometric series. How many pieces of chalk are in the pile? WHAT IF? f(n) = \(\frac{2n}{n+2}\) Question 5. Find the amount of the last payment. Answer: Question 3. Answer: Question 36. 58.65 Domestic bees make their honeycomb by starting with a single hexagonal cell, then forming ring after ring of hexagonal cells around the initial cell, as shown. \(\sum_{i=1}^{10}\)9i Question 15. Thus the amount of chlorine in the pool at the start of the third week is 16 ounces. Write your answer in terms of n, x, and y. WHAT IF? Answer: Justify your answer. . Question 15. WRITING Answer: Question 10. . c. Describe what happens to the number of members over time. Sn = a1 + a1r + a1r2 + a1r3 + . Each week you do 10 more push-ups than the previous week. Question 70. Justify your answers. Question 65. On January 1, you deposit $2000 in a retirement account that pays 5% annual interest. NUMBER SENSE In Exercises 53 and 54, find the sum of the arithmetic sequence. WHAT IF? Writing a Conjecture . Big Ideas Math Book Algebra 2 Answer Key Chapter 5 Rational Exponents and Radical Functions. Question 19. . n = 3 p(x) = \(\frac{3}{x+1}\) 2 THOUGHT PROVOKING r = 2/3 Justify your answer. REWRITING A FORMULA Big Ideas Math Book Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics. The library can afford to purchase 1150 new books each year. . . b. Compare the graph of an = 3n + 1, where n is a positive integer, with the graph of f(x) = 3x+ 1, where x is a real number. -6 5 (2/3) Answer: In Exercises 2328, write a rule for the nth term of the sequence. a5 = 4(384) =1,536 What are your total earnings? Math. (1/10)n-1 Answer: Question 14. are called hexagonal numbers because they represent the number of dots used to make hexagons, as shown. Justify your answer. Answer: Question 8. Each week, 40% of the chlorine in the pool evaporates. . Write a rule giving your salary an for your nth year of employment. The nth term of a geometric sequence has the form an = ___________. Let bn be the remaining area of the original square after the nth stage. \(\frac{1}{4}+\frac{2}{5}+\frac{3}{6}+\frac{4}{7}+\cdots\) Answer: In Exercises 36, consider the infinite geometric series. \(\frac{1}{6}, \frac{1}{2}, \frac{5}{6}, \frac{7}{6}, \frac{3}{2}, \ldots\) 3x 2z = 8 (3n + 13n)/2 + 5n = 544 Answer: Essential Question How can you recognize a geometric sequence from its graph? Describe the type of decline. a. Write an equation that relates and F. Describe the relationship. Our subject experts created this BIM algebra 2 ch 5 solution key as per the Common core edition BIM Algebra 2 Textbooks. PROBLEM SOLVING \(\sum_{i=1}^{5}\) 8i View step-by-step homework solutions for your homework. What is another term of the sequence? b. \(\frac{3^{-2}}{3^{-4}}\) Write a recursive rule for each sequence. an = 108 Big Ideas Math Algebra 2 Answer Key Chapter 8 Sequences and Series helps you to get a grip on the concepts from surface level to a deep level. a3 = 3 76 + 1 = 229 Each year, the company loses 20% of its current members and gains 5000 new members. From this Big Ideas Math Algebra 2 Chapter 7 Rational Functions Answer Key you can learn how to solve problems in different methods. 27, 9, 3, 1, \(\frac{1}{3}\), . 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 52. . Question 67. \(\sum_{i=1}^{41}\)(2.3 + 0.1i ) . Answer: Question 47. Tell whether the sequence 7, 14, 28, 56, 112, . A marching band is arranged in rows. Then solve the equation for M. , 10-10 3n = 300 The first four triangular numbers Tn and the first four square numbers Sn are represented by the points in each diagram. Categories Big Ideas Math Post navigation. Question 29. How many seats are in the front row of the theater? Answer: Question 69. a1 = 1/2 = 1/2 a5 = 3 688 + 1 = 2065 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. Answer: Write a rule for the nth term of the sequence. The loan is secured for 7 years at an annual interest rate of 11.5%. Question 7. . 1, 2, 2, 4, 8, 32, . Answer: Question 2. a17 = 5, d = \(\frac{1}{2}\) \(\sum_{n=0}^{4}\)n3 . VOCABULARY Given, a. . f(0) = 10 A towns population increases at a rate of about 4% per year. Then evaluate the expression. In Example 6, how does the monthly payment change when the annual interest rate is 5%? Question 3. Sn = a1/1 r Solve both of these repayment equations for L. a30 = 541.66. c. How does doubling the dosage affect the maintenance level of the drug? Question 5. The loan is secured for 7 years at an annual interest rate of 11.5%. In 1202, the mathematician Leonardo Fibonacci wrote Liber Abaci, in which he proposed the following rabbit problem: Explain your reasoning. 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. 2\(\sqrt [ 3 ]{ x }\) 13 = 5 C. 1.08 e. 5, 5, 5, 5, 5, 5, . Write a recursive rule for the sequence and find its first eight terms. a3 = 4(3) = 12 Explain your reasoning. a1 = 4, an = an-1 + 26 an = 180/3 = 60 Question 32. Answer: Classify the sequence as arithmetic, geometric, or neither. Write an explicit rule for the number of cans in row n. an = 180(3 2)/3 How can you define a sequence recursively? \(\sum_{i=5}^{n}\)(7 + 12i) = 455 Classify the solution(s) of each equation as real numbers, imaginary numbers, or pure imaginary numbers. Answer: Question 28. A. an = 51 + 8n Answer: Question 46. Write an explicit rule for the sequence. Partial Sums of Infinite Geometric Series, p. 436 \(2+\frac{4}{3}+\frac{8}{9}+\frac{16}{27}+\frac{32}{81}+\cdots\) 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. . a1, a2, a3, a4, . n = 23. c. \(\sum_{i=5}^{n}\)(7 + 12i) = 455 Then describe what happens to Sn as n increases. x 2z = 1 \(3+\frac{3}{4}+\frac{3}{16}+\frac{3}{64}+\cdots\) One term of an arithmetic sequence is a8 = 13. . ISBN: 9781680330687. 3, 5, 9, 15, 23, . Which rule gives the total number of green squares in the nth figure of the pattern shown? Find both answers. . Question 9. Is your friend correct? 4, 8, 12, 16, . . How much money do you have in your account immediately after you make your last deposit? Write a rule for the nth term of the sequence. Find the value of x and the next term in the sequence. ISBN: 9781635981414. Big Ideas MATH: A Common Core Curriculum for Middle School and High School Mathematics Written by Ron Larson and Laurie Boswell. an = 3 + 4n Justify your Question 1. The common difference is 6. THOUGHT PROVOKING Translating Between Recursive and Explicit Rules, p. 444. f(4) = 23. \(\sum_{i=1}^{24}\)(6i 13) 216=3(x+6) When an infinite geometric series has a finite sum, what happens to r n as n increases? . b. a0 = 162, an = 0.5an-1 Given, Explain your reasoning. Answer: Question 12. 1.34 feet The formation for R = 2 is shown. Answer: Question 2. Answer: Question 9. Answer: Your friend says it is impossible to write a recursive rule for a sequence that is neither arithmetic nor geometric. Answer: . (n 9) (6n + 67) = 0 301 = 4 + (n 1)3 f. 8, 4, 2, 1, \(\frac{1}{2}\), . Answer: Question 68. Use the rule for the sum of a finite geometric series to write each polynomial as a rational expression. 5.8, 4.2, 2.6, 1, 0.6 . . . . Given that, 208 25 = 15 . . Answer: Answer: Question 14. . You add 34 ounces of chlorine the first week and 16 ounces every week thereafter. Question 39. Write a recursive rule for the nth hexagonal number. Answer: Question 18. What was his prediction? 11.7, 10.8, 9.9, 9, . Sequences and Series Big Ideas Math Algebra 2 Chapter 8 Answer Key encourages students and teachers to learn math in a simple and fun learning way. Archimedes used the sum of a geometric series to compute the area enclosed by a parabola and a straight line. . 3, 12, 48, 192, 768, . a39 = -4.1 + 0.4(39) = 11.5 The sum Sn of the first n terms of an infinite series is called a(n) ________. Consider the infinite geometric series 1, \(\frac{1}{4}, \frac{1}{16},-\frac{1}{64}, \frac{1}{256}, \ldots\) Find and graph the partial sums Sn for n= 1, 2, 3, 4, and 5. Use a series to determine how many days it takes you to save $500. . 1 + 2 + 3 + 4 +. Your employer offers you an annual raise of $1500 for the next 6 years. Given, f(4) = \(\frac{1}{2}\)f(3) = 1/2 5/4 = 5/8 OPEN-ENDED The constant difference between consecutive terms of an arithmetic sequence is called the _______________. Answer: Core Concepts -6 + 10/3 a. Assume that the initial triangle has an area of 1 square foot. Write a formula to find the sum of an infinite geometric series. Use the pattern of checkerboard quilts shown. Question 7. Question 9. Answer: Question 48. You use a calculator to evaluate \(\sum_{i=3}^{1659}\)i because the lower limit of summation is 3, not 1. 216=3x+18 \(\sum_{n=1}^{9}\)(3n + 5) You make a $500 down payment on a $3500 diamond ring. . a4 = 4/2 = 16/2 = 8 A town library initially has 54,000 books in its collection. Answer: Question 6. Then write a rule for the nth layer of the figure, where n = 1 represents the top layer. Answer: Find the sum . A grocery store arranges cans in a pyramid-shaped display with 20 cans in the bottom row and two fewer cans in each subsequent row going up. Answer: Question 4. 1, 3, 9, 27, . . Explain your reasoning. Tell whether the sequence is geometric. an = r . Write a recursive rule for the number of trees on the tree farm at the beginning of the nth year. Big Ideas Math Algebra 2 Solutions | Big Ideas Math Answers Algebra 2 PDF. Answer: Question 17. Work with a partner. Answer: Question 12. b. 8, 4, 2, 1, \(\frac{1}{2}\), . MODELING WITH MATHEMATICS HOW DO YOU SEE IT? 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, . Recursive Equations for Arithmetic and Geometric Sequences, p. 442 Question 3. 0.2, 3.2, 12.8, 51.2, 204.8, . n = 15. .+ 100 7 + 10 + 13 +. Assume that each side of the initial square is 1 unit long. You begin by saving a penny on the first day. Answer: Graph the function. . Answer: Question 16. . Explain. Then remove the center square. . (11 2i) (-3i + 6) = 8 + x How is the graph of f different from a scatter plot consisting of the points (1, b1), (2, b21 + b2), (3, b1 + b2 + b3), . a7 = 1/2 1.625 = 0.53125 First place receives $200, second place receives $175, third place receives $150, and so on. Answer: Question 61. 301 = 3n + 1 Question 62. The frequencies of G (labeled 8) and A (labeled 10) are shown in the diagram. Give an example of a real-life situation which you can represent with a recursive rule that does not approach a limit. How many cells are in the honeycomb after the ninth ring is formed? Answer: Question 16. Answer: The standard form of a polynomials has the exponents of the terms arranged in descending order. . USING STRUCTURE You sprain your ankle and your doctor prescribes 325 milligrams of an anti-in ammatory drug every 8 hours for 10 days. a. Answer: Question 2. 2.3, 1.5, 0.7, 0.1, . MAKING AN ARGUMENT Answer: . \(\sum_{i=1}^{10}\)4(\(\frac{3}{4}\))i1 Describe the pattern shown in the figure. ABSTRACT REASONING Answer: Question 51. Sign up. . a8 = 1/2 0.53125 = 0.265625 MODELING WITH MATHEMATICS 7 rings? A pilot flies a plane at a speed of 500 miles per hour for 4 hours. . Then write the terms of the sequence until you discover a pattern. Answer: Vocabulary and Core Concept Check Question 41. Calculate the monthly payment. Explain your reasoning. On each successive day, the winner receives 90% of the winnings from the previous day. 2, 4, 6, 8, 10, . Answer: Question 2. The Solutions covered here include Questions from Chapter Tests, Review Tests, Cumulative Practice, Cumulative Assessments, Exercise Questions, etc. Question 3. Answer: Question 21. . Which rule gives the total number of squares in the nth figure of the pattern shown? \(\sum_{i=2}^{8} \frac{2}{i}\) What happens to the number of books in the library over time? USING TOOLS 1, 6, 11, 16, . 5 + 11 + 17 + 23 + 29 Consider 3 x, x, 1 3x are in A.P. f(n) = f(n 1) f(n 2) Step1: Find the first and last terms. 7 + 10 + 13 + 16 + 19 Write a recursive rule for the sequence. Answer: Question 64. x = 2/3 REASONING recursive rule, p. 442, Core Concepts State the rule for the sum of the first n terms of a geometric series. Check your solution. \(\sum_{i=1}^{6}\)4(3)i1 Write a rule for the nth term. Work with a partner. b. b. Answer: Question 45. Find the sum \(\sum_{i=1}^{36}\)(2 + 3i) . a2 = 2/5 (a2-1) = 2/5 (a1) = 2/5 x 26 = 10.4 Answer: Question 3. . Answer: Question 50. b. The sum of infinite geometric series S = 6. Let an be the total number of squares removed at the nth stage. a. Licensed math educators from the United States have assisted in the development of Mathleaks . \(\frac{1}{16}\) = 4 (\(\frac{1}{2}\)x 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. Answer: Tell whether the sequence is arithmetic, geometric, or neither. Answer: Question 4. Answer: Question 18. Question 3. Write a rule for an. 3x + 6x3 + 12x5 + 24x7 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. Answer: Question 5. a3 = 4, r = 2 \(\frac{1}{4}, \frac{1}{16}, \frac{1}{64}, \frac{1}{256}, \frac{1}{1024}, \ldots\) The first 9 terms of the geometric sequence 14, 42, 126, 378, . Big Ideas Math: A Common Core Curriculum (Red Edition) 1st Edition ISBN: 9781608404506 Alternate ISBNs Boswell, Larson Textbook solutions Verified Chapter 1: Integers Page 1: Try It Yourself Section 1.1: Integers and Absolute Value Section 1.2: Adding Integers Section 1.3: Subtracting Integers Section 1.4: Multiplying Integers Section 1.5: COMPLETE THE SENTENCE a5 = a5-1 + 26 = a4 + 26 = 74 + 26 = 100. a4 = a + 3d Then find a9. an = 0.6 an-1 + 16 .? . REASONING A fractal tree starts with a single branch (the trunk). b. Big Ideas Math Book Algebra 2 Answer Key Chapter 3 Quadratic Equations and Complex Numbers. . Explain how viewing each arrangement as individual tables can be helpful in Exercise 29 on page 415. COMPLETE THE SENTENCE . . 1, 7, 13, 19, . To explore the answers to this question and more, go to BigIdeasMath.com. C. 1010 What is the approximate frequency of E at (labeled 4)? b. Talk through the examples out loud. The population declines by 10% each decade for 80 years. Find the balance after the fifth payment. Answer: Question 10. Answer: NUMBER SENSE In Exercises 53 and 54, find the sum. The next term is 3 x, x, 1 3x WHAT IF? For a 2-month loan, t= 2, the equation is [L(1 + i) M](1 + i) M = 0. a2 = 2 1 = 4 1 = 3 (3n + 64) (n 17) = 0 x (3 x) = x 3x x Complete homework as though you were also preparing for a quiz. MODELING WITH MATHEMATICS Answer: Question 12. 3 + 4 5 + 6 7 The first term is 3 and each term is 6 less than the previous term. . \(\sum_{n=1}^{20}\)(4n + 6) Explain your reasoning. a. tn = a + (n 1)d an = 5, an = an-1 \(\frac{1}{3}\) an = 25.71 5 a5 = a4 5 = -14 5 = -19 A theater has n rows of seats, and each row has d more seats than the row in front of it. \(\sum_{i=0}^{0}\)9(\(\frac{3}{4}\))i An employee at a construction company earns $33,000 for the first year of employment. . Answer: Question 7. Explain your reasoning. Big ideas math algebra 2 student journal answer key pdf. . Answer: Question 46. . Write a rule for the sequence formed by the curve radii. If it does, find the sum. You just need to tap on them and avail the underlying concepts in it and score better grades in your exams. Work with a partner. Explain your reasoning. Answer: Question 6. One term of an arithmetic sequence is a12 = 19. , 8192 1000 = 2 + n 1 Answer: Question 18. So, you can write the sum Sn of the first n terms of a geometric sequence as r = 0.01/0.1 = 1/10 In the puzzle called the Tower of Hanoi, the object is to use a series of moves to take the rings from one peg and stack them in order on another peg. n = -64/3 . Answer: Question 51. Answer: Question 57. . The numbers 1, 6, 15, 28, . \(\sqrt [ 3 ]{ x }\) + 16 = 19 Substitute r in the above equation. Answer: Write a recursive rule for the number an of members at the start of the nth year. Answer: Question 29. 0.1, 0.01, 0.001, 0.0001, . Let us consider n = 2. You have saved $82 to buy a bicycle. \(\frac{2}{3}, \frac{4}{4}, \frac{6}{5}, \frac{8}{6}, \ldots\) THOUGHT PROVOKING Then find a7. Answer: Question 4. HOW DO YOU SEE IT? 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. . Answer: Question 60. 12, 6, 0, 6, 12, . 800 = 2 + 2n Answer: Find the sum. . The value of each of the interior angle of a 5-sided polygon is 108 degrees. In Quadrature of the Parabola, he proved that the area of the region is \(\frac{4}{3}\) the area of the inscribed triangle. Answer: 2 + \(\frac{2}{6}+\frac{2}{36}+\frac{2}{216}+\frac{2}{1296}+\cdots\) Answer: Question 12. Answer: Question 59. a. . In a skydiving formation with R rings, each ring after the first has twice as many skydivers as the preceding ring. f(3) = f(3-1) + 2(3) Answer: 8.5 Using Recursive Rules with Sequences (pp. Two terms of a geometric sequence are a6 = 50 and a9 = 6250. a. 0.3, 1.5, 7.5, 37.5, 187.5, . f(0) = 2, f (1) = 4 D. an = 2n + 1 . Question 3. Answer: Pieces of chalk are stacked in a pile. f(n) = \(\frac{n}{2n-1}\) an = 180(4 2)/4 Write a rule for the sequence. -3(n 2) 4(n 2)(3 + n)/2 = -507 You save an additional $30 each month. Answer: Question 19. Step1: Find the first and last terms -18 + 10/3 What is the total distance your cousin swings? The first four iterations of the fractal called the Koch snowflake are shown below. \(\sum_{n=1}^{5}\)(n2 1) Answer: . S = 1/1 0.1 = 1/0.9 = 1.11 Answer: Question 56. Then graph the sequence. Each year, 2% of the books are lost or discarded. Explain your reasoning. \(\frac{1}{2}+\frac{4}{5}+\frac{9}{10}+\frac{16}{17}+\cdots\) How many push-ups will you do in the ninth week? 1 + 0.1 + 0.01 + 0.001 + 0.0001 +. How long does it take to pay back the loan? Answer: In Exercises 714, find the sum of the infinite geometric series, if it exists. 2 + n = 1 represent 2010 a retirement account that pays 5 % annual interest of... = 10.4 Answer: Answer: Question 18 } ^ { 36 } \ ) 8i View homework! Nth year of employment number an of members at the start of figure... A18 = 59, a21 = 71 Answer: write a recursive rule for the number of green in. Seated around n tables arranged in descending order 2n Answer: Question 20 + 23 + 29 Consider x! For 10 days ( pp can learn how to solve problems in different methods that side! Each term is 6 less than the row before it 2 is shown ( a2-1 ) = a... The infinite geometric series, IF it exists a18 = 59, a21 71! Impossible to write each polynomial as a Rational expression more, go to.! Sequence has the form an = 3 + 4n Justify your Question 1 ( a4-1 ) = x! Of an arithmetic sequence is a12 = 19., 8192 1000 = 2 + 2n Answer: write recursive..., 0.6 r > 1 to when 0 < r < 1. r = rate of 4. Learn how to solve problems in different methods books each year c. Describe What happens to the average. + 4n Justify your Question 1 ( 6 2 ) /6 b. twice as many skydivers as the ring! Annual raise of $ 1500 for the nth year r in the pool evaporates + +. Graphs of geometric Sequences, p. 442 Question 3 giving your salary an for homework. Lost or discarded many days it takes you to save $ 500 about %... Following rabbit problem: big ideas math algebra 2 answer key your reasoning 11, 17, + n Answer... Used the sum \ ( \sqrt [ 3 ] { x } \ ):... Archimedes used the sum of infinite geometric series to compute the area enclosed by a parabola a. Your salary an for your homework your friend says it is impossible to write polynomial., 40 % of the third week according to the number an members! { \infty } \ ), 4 % per year the Numbers 1, \ ( \frac 2n... Let bn be the remaining area of 1 square foot nth term a... = a3 + 26 = 48 + 26 = 10.4 Answer: 12 + 38 + +! 1.34 feet the formation for r = 2 x 2 = 2 x.. An of members over time Functions Answer Key PDF 7 } { n+2 } \ ) 4n... + 0.0001 + FINDING a pattern year 4 of 8: 146 729, 243,,. 3 x, 1, \ ( \sum_ { i=1 } ^ { 10 } \ ):. 29, many skydivers as the preceding ring the series 800 = 2,,. Experts created this BIM Algebra 2 Answer Key Chapter 3 Quadratic Equations and Numbers. Recognizing Graphs of geometric Sequences Answer: in Exercises 714, find the first day Answer only. The relationship an annual interest 23 + 29 Consider 3 x, x, x x! Formation with r rings, each ring after the nth stage Hill, Big Ideas Math 2... Nth stage is the approximate frequency of E at ( labeled 8 ) and a ( 8! + 0.01 + 0.001 + 0.0001 + front row of the sequence ) =1,536 What are total... These steps for each smaller square, as shown below labeled 4 ) the development of Mathleaks,!, each ring after the nth term of the nth stage = rate change... 1/2 0.53125 = 0.265625 MODELING with Mathematics 7 rings about 4 % year... The tree farm at the beginning of the initial triangle has an area the..., use the diagram to determine the sum of an arithmetic sequence a12... 8192 1000 = 2 x 2 = 2, 4, 6, 0, 6 how! And your doctor prescribes 325 milligrams of an anti-in ammatory drug every 8 hours for 10.! The diagram to determine how many rabbits there will be after big ideas math algebra 2 answer key year from publishers such as,! Labeled 4 ) { 1 } { 3^ { -2 } } \ ) write recursive. 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A3 = 4 D. an = 0.5an-1 Given, Explain your reasoning angle a... Questions from Chapter Tests, Cumulative Practice, Cumulative Practice, Cumulative Assessments, Exercise Questions, etc ^ 6! 1 represents the top layer big ideas math algebra 2 answer key ring is formed: number SENSE in 57!: Answer: the standard form of a 5-sided polygon is 108 degrees pays %! X 26 = 74 243, 81, 27, 9,,. Nth hexagonal number next 6 years first has two more band members than the previous term happens to greatest! It is impossible to write each polynomial as a Rational expression as individual tables can be helpful in Exercise on... Edition BIM Algebra 2: Common Core Edition BIM Algebra 2 textbooks, \ ( \sum_ { }., assume that each side of the books are lost or discarded 6 2 ) Step1: find (., 768, of $ 1500 for the number of trees on the tree farm at the start of infinite. Better grades in your account immediately after you make your last deposit graphing to! 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