There are x seats in the last (nth) row and a total of y seats in the entire theater. Use each formula to determine how many rabbits there will be after one year. a1 = 4(1) + 7 = 11. Graph of a geometric sequence behaves like graph of exponential function. . 4 + \(\frac{12}{5}+\frac{36}{25}+\frac{108}{125}+\frac{324}{625}+\cdots\) 10 = n 1 Question 27. . Your employer offers you an annual raise of $1500 for the next 6 years. 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. b. The annual interest rate of the loan is 4%. Use a spreadsheet to help you answer the question. 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. Answer: Question 2. What are your total earnings? f(5) = f(5-1) + 2(5) = f(4) + 10 Answer: Question 5. Answer: Question 8. B. an = n/2 . Answer: Question 56. 15, 9, 3, 3, 9, . Answer: Write the series using summation notation. C. 1010 Partial Sums of Infinite Geometric Series, p. 436 Answer: Question 12. an = 105(3/5)n1 . By practicing the problems from our answer key students can prove their best in all types of exams like practice tests, FAs, Quiz, Chapter tests . . Section 1.4: Solving Linear . (1/10)10 = 1/10n-1 Answer: Compare the given equation with the nth term Find the sum of the infinite geometric series 2 + \(\frac{1}{2}-\frac{1}{8}+\frac{1}{32}+\cdots\), if it exists. a21 = 25, d = \(\frac{3}{2}\) Answer: D. an = 35 8n Also, the maintenance level is 1083.33 Big Ideas Math Book Algebra 2 Answer Key Chapter 11 Data Analysis and Statistics. Write a recursive rule for the nth hexagonal number. 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 13. . . \(\frac{1}{2}, \frac{1}{6}, \frac{1}{18}, \frac{1}{54}, \frac{1}{162}, \ldots\) The monthly payment is $91.37. Step1: Find the first and last terms. 8.1 Defining and Using Sequences and Series (pp. . Explain your reasoning. Then graph the first six terms of the sequence. an = an-1 + d Answer: Question 16. . \(\frac{1}{2}+\frac{4}{5}+\frac{9}{10}+\frac{16}{17}+\cdots\) \(\sum_{i=1}^{34}\)1 So, it is not possible is geometric. a3 = 4, r = 2 The number of cans in each row is represented by the recursive rule a1 = 20, an = an-1 2. Answer: Question 59. How much money do you have in your account immediately after you make your last deposit? . Answer: Question 25. Write an explicit rule for the number of cans in row n. Answer: Question 11. a1 = 34 an = 120 4006 . . Sn = 1/9. Thus, make use of our BIM Book Algebra 2 Solution Key Chapter 2 . WHAT IF? Let an be your balance n years after retiring. The monthly payment is $213.59. \(\frac{1}{6}, \frac{1}{2}, \frac{5}{6}, \frac{7}{6}, \frac{3}{2}, \ldots\) n = -49/2 WHAT IF? 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. Writing a Recursive RuleWork with a partner. an = 180(3 2)/3 1, 7, 13, 19, . Answer: Write a rule for the nth term of the sequence. 3n(n + 1)/2 + 5n = 544 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. Substitute r in the above equation. Big Ideas Math Book Algebra 2 Answer Key Chapter 7 Rational Functions. So, it is not possible Describe the pattern. Answer: Essential Question How can you find the sum of an infinite geometric series? h(x) = \(\frac{1}{x-2}\) + 1 Let us consider n = 2 Answer: Question 10. Describe the type of growth. \(\frac{1}{4}, \frac{2}{4}, \frac{3}{4}, \frac{4}{4}, \ldots\) \(\sum_{i=1}^{39}\)(4.1 + 0.4i ) A regional soccer tournament has 64 participating teams. b. . Just tap on the direct links available on this page and easily access the Bigideas Math Algebra 2 Answer Key online & offline. Answer: Question 18. f(n) = \(\frac{n}{2n-1}\) . 1, 2, 3, 4, . a2 = 4a2-1 a. Writing Rules for Sequences Assuming this trend continues, what is the total profit the company can make over the course of its lifetime? Question 5. \(\sum_{i=1}^{n}\)(3i + 5) = 544 Question 41. Find the number of members at the start of the fifth year. The questions are prepared as per the Big Ideas Math Book Algebra 2 Latest Edition. Let an be the total area of all the triangles that are removed at Stage n. Write a rule for an. Answer: Question 3. b. 3x 2z = 8 . Answer: Question 10. Write a rule for the number of cells in the nth ring. The curve radius of lane 1 is 36.5 meters, as shown in the figure. Answer: Question 60. The next term is 3 x, x, 1 3x = 29(61) Let us consider n = 2. -4(n)(n + 1)/2 n = -1127 a2 =48, a5 = \(\frac{3}{4}\) . Which graph(s) represents an arithmetic sequence? \(\sum_{k=1}^{5}\)11(3)k2 0.3, 1.5, 7.5, 37.5, 187.5, . The loan is secured for 7 years at an annual interest rate of 11.5%. WRITING For a display at a sports store, you are stacking soccer balls in a pyramid whose base is an equilateral triangle with five layers. a1 = 2 7 + 10 + 13 +. VOCABULARY . . The monthly payment is $173.86. MAKING AN ARGUMENT Answer: . d. If you pay $350 instead of $300 each month, how long will it take to pay off the loan? Answer: Question 3. You begin by saving a penny on the first day. Answer: Question 53. Question 3. The loan is secured for 7 years at an annual interest rate of 11.5%. \(\sum_{i=1}^{5}\)7i If n= 2. Is your friend correct? a1 = 1 \(\sum_{k=4}^{6} \frac{k}{k+1}\) a. Question 3. This is similar to the linear functions that have the form y=mx +b. . a3 = a3-1 + 26 = a2 + 26 = 22 + 26 = 48. Question 32. b. b. 8, 4, 2, 1, \(\frac{1}{2}\), . Answer: 13, 6, 1, 8, . Ageometric sequencehas a constant ratiobetweeneach pair of consecutive terms. (3n + 13n)/2 + 5n = 544 Answer: Question 48. Answer: Question 25. \(\sum_{n=0}^{4}\)n3 Big Ideas Math Algebra 2, Virginia Edition, 2019. Answer: Question 61. Answer: Question 4. .? Answer: Question 22. n = 9 or n = -67/6 . Match each sequence with its graph. Question 1. Answer: Answer: Question 26. Explain. It is seen that after n = 12, the same value of 1083.33 is repeating. Answer: Graph the function. . c. Use the rule an = \(\frac{n^{2}}{2}+\frac{1}{4}\)[1 (1)n] to find an for n = 1, 2, 3, 4, 5, 6, 7, and 8. Answer: Question 14. \(\frac{1}{16}\) = 4 (\(\frac{1}{2}\)x b. Does the person catch up to the tortoise? Question 9. . Does the track shown meet the requirement? \(\sum_{n=1}^{\infty} 8\left(\frac{1}{5}\right)^{n-1}\) Answer: Question 20. f. x2 5x 8 = 0 Answer: Question 13. Step2: Find the sum f(3) = f(3-1) + 2(3) \(\sqrt{x}\) + 2 = 7 You are buying a new car. Answer: Find the sum Answer: Question 18. Use the sequence mode and the dot mode of a graphing calculator to graph the sequence. -18 + 10/3 Answer: Question 68. 3.1, 3.8, 4.5, 5.2, . Recognizing Graphs of Geometric Sequences Answer: Question 9. Answer: Sequences and Series Maintaining Mathematical Proficiency Page 407, Sequences and Series Mathematical Practices Page 408, Lesson 8.1 Defining and Using Sequences and Series Page(409-416), Defining and Using Sequences and Series 8.1 Exercises Page(414-416), Lesson 8.2 Analyzing Arithmetic Sequences and Series Page(417-424), Analyzing Arithmetic Sequences and Series 8.2 Exercises Page(422-424), Lesson 8.3 Analyzing Geometric Sequences and Series Page(425-432), Analyzing Geometric Sequences and Series 8.3 Exercises Page(430-432), Sequences and Series Study Skills: Keeping Your Mind Focused Page 433, Sequences and Series 8.1 8.3 Quiz Page 434, Lesson 8.4 Finding Sums of Infinite Geometric Series Page(435-440), Finding Sums of Infinite Geometric Series 8.4 Exercises Page(439-440), Lesson 8.5 Using Recursive Rules with Sequences Page(441-450), Using Recursive Rules with Sequences 8.5 Exercises Page(447-450), Sequences and Series Performance Task: Integrated Circuits and Moore s Law Page 451, Sequences and Series Chapter Review Page(452-454), Sequences and Series Chapter Test Page 455, Sequences and Series Cumulative Assessment Page(456-457), Big Ideas Math Answers Grade 7 Accelerated, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 4 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 3 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 2 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 1 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 7 Module 2 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 3 Module 2 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 3 Module 1 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 8 Module 4 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 8 Module 3 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 8 Module 2 Answer Key. Mathematical Practices WHAT IF? Question 73. a1 = 4(1) = 4 a. tn = arn-1 an= \(\frac{1}{2}\left(\frac{1}{4}\right)^{n-1}\) Find the length of the spring, if possible. n = -49/2 is a negatuve value. WRITING Find the sum \(\sum_{i=1}^{9}\)5(2)i1 . Answer: Question 9. Answer: Question 2. . Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers. Each row has one less piece of chalk than the row below it. a1 = 1/2 = 1/2 Answer: Question 56. a6 = -5(a6-1) = -5a5 = -5(-5000) = 25,000. Answer: Question 32. . Use the drop-down menu below to select your program. Is the sequence formed by the curve radii arithmetic, geometric, or neither? . Answer: Question 8. List the number of new branches in each of the first seven stages. Section 8.1Sequences, p. 410 x=4, Question 5. 8x = 2197 125 81, 27, 9, 3, 1, . .+ 100 You add 34 ounces of chlorine the first week and 16 ounces every week thereafter. f(2) = f(2-1) + 2(2) = 5 + 4 So, it is not possible Write an explicit rule for each sequence. 1000 = 2 + n 1 A tree farm initially has 9000 trees. (7 + 12(5)) + (7 + 12(6)) + . Enter each geometric series in a spreadsheet. \(\sum_{n=1}^{18}\)n2 Question 7. 2x 2y + z = 5 216 = 3(x + 6) Is your friend correct? Question 5. Justify your answer. . Two terms of a geometric sequence are a6 = 50 and a9 = 6250. Tell whether the sequence 12, 4, 4, 12, 20, . The nth term of a geometric sequence has the form an = ___________. , the common difference is 3. OPEN-ENDED Then graph the first six terms of the sequence. BIM Algebra 2 Chapter 8 Sequences and Series Solution Key is given by subject experts adhering to the Latest Common Core Curriculum. . PROBLEM SOLVING y= 2ex . Our resource for Big Ideas Math: Algebra 2 Student Journal includes answers to chapter exercises, as well as detailed information to walk you through the process step by step. Question 3. Answer: Question 28. an-1 Year 7 of 8: 286 . Thus the amount of chlorine in the pool over time is 1333. Question 13. Answer: Find the sum. a. Calculate the monthly payment. Find the sum of the terms of each arithmetic sequence. Big ideas math algebra 2 student journal answer key pdf. . 4 + 7 + 12 + 19 + . . Answer: Question 11. Can a person running at 20 feet per second ever catch up to a tortoise that runs 10 feet per second when the tortoise has a 20-foot head start? a5 = 1/2 4.25 = 2.125 Answer: Write a recursive rule for the sequence. MODELING WITH MATHEMATICS + (-3 4n) = -507 How much money will you have saved after 100 days? Then find the total number of squares removed through Stage 8. The rule for a recursive sequence is as follows. The function is not a polynomial function because the term 2x -2 has an exponent that is not a whole number. b. 1 + 2 + 3 + 4 +. Each week, 40% of the chlorine in the pool evaporates. Answer: Answer: Each year, 2% of the books are lost or discarded. The solutions seen in Big Ideas Math Book Algebra 2 Answer Key is prepared by math professionals in a very simple manner with explanations. Parent Functions and Transformations p. 3-10 2. Give an example of a sequence in which each term after the third term is a function of the three terms preceding it. If not, provide a counterexample. Answer: Question 70. Answer: Question 14. a17 = 5, d = \(\frac{1}{2}\) 7 7 7 7 = 2401. C. a5 = 13 During a baseball season, a company pledges to donate $5000 to a charity plus $100 for each home run hit by the local team. 213 = 2n-1 1 + x + x2 + x3 + x4 Find the sum of each infinite geometric series, if it exists. Answer: Question 4. n = 100 . You borrow $10,000 to build an extra bedroom onto your house. For example, you will save two pennies on the second day, three pennies on the third day, and so on. Question 19. Answer: Question 46. There is an equation for it, Question 70. Answer: Question 54. S = 1/1 0.1 = 1/0.9 = 1.11 WRITING a1 = 1 Answer: Question 12. and balance after 85 payment is 173.86 159.49 = 14.37. Answer: Question 3. WRITING Answer: Question 36. How many apples are in the ninth layer? . Recognizing Graphs of Arithmetic Sequences What was his prediction? In this section, you learned the following formulas. \(\sum_{i=1}^{10}\)7(4)i1 . Written by a renowned, single authorship team, the program provides a cohesive, coherent, and rigorous mathematics curriculum that encourages students to become strategic thinkers and problem solvers. . . x 2z = 1 . Year 1 of 8: 75 In general most of the curve represents geometric sequences. Question 23. a3 = 3 76 + 1 = 229 Explain your reasoning. Answer: Question 4. Justify your answers. Question 1. Question 3. Explain your reasoning. an = an-1 + 3 D. a6 = 47 an = 30 4 a3 = 3 1 = 9 1 = 8 6x = 4 . b. nth term of a sequence 2x 3y + z = 4 3 x + 6x 9 Sixty percent of the drug is removed from the bloodstream every 8 hours. Refer to BIM Algebra Textbook Answers to check the solutions with your solutions. Check out Big Ideas Math Algebra 2 Answers Chapter 8 Sequences and Series aligned as per the Big Ideas Math Textbooks. Use the below available links for learning the Topics of BIM Algebra 2 Chapter 8 Sequences and Series easily and quickly. when n = 4 an = 180(n 2)/n CRITICAL THINKING Explain the difference between an explicit rule and a recursive rule for a sequence. Answer: Vocabulary and Core Concept Check \(\sum_{k=3}^{6}\)(5k 2) Compare your answers to those you obtained using a spreadsheet. Each week you do 10 more push-ups than the previous week. when n = 6 B. an = 35 + 8n . . THOUGHT PROVOKING Answer: MODELING WITH MATHEMATICS In Exercises 57 and 58, use the monthly payment formula given in Example 6. The value of each of the interior angle of a 7-sided polygon is 128.55 degrees. a. an+ 1 = 1/2 an Sum = a1(1 r) . a6 = a6-1 + 26 = a5 + 26 = 100 + 26 = 126. Therefore C is the correct answer as the total number of green squares in the nth figure of the pattern shown in rule C. Question 29. The explicit rule an= 30n+ 82 gives the amount saved after n months. \(3+\frac{3}{4}+\frac{3}{16}+\frac{3}{64}+\cdots\) Pieces of chalk are stacked in a pile. Answer: Question 4. a6 = 3 2065 + 1 = 6196. a4 = -5(a4-1) = -5a3 = -5(-200) = 1000. . Answer: . n = -35/2 is a negatuve value. Answer: Question 5. Answer: Question 18. Answer: Question 22. , 800 a. Question 4. Answer: Question 4. 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. Sixty percent of the drug is removed from the bloodstream every 8 hours. Recursive Equations for Arithmetic and Geometric Sequences, p. 442 THOUGHT PROVOKING Answer: Question 40. contains infinitely many prime numbers. Answer: \(\sum_{i=1}^{n}\)(3i + 5) = 544 Question 1. 1, \(\frac{1}{3}\), \(\frac{1}{3}\), 1, . S = 6 In number theory, the Dirichlet Prime Number Theorem states that if a and bare relatively prime, then the arithmetic sequence HOW DO YOU SEE IT? Mathematical Practices b. Answer: Answer: Question 66. x 4y + 5z = 4 Question 65. a. an = n + 4 Answer: WRITING EQUATIONS In Exercises 4146, write a rule for the sequence with the given terms. The value of x is 2/3 and next term in the sequence is -8/3. Question 38. Work with a partner. Answer: In Exercises 4752, find the sum. +a1rn-1. At each stage, each new branch from the previous stage grows two more branches, as shown. Is your friend correct? We can conclude that Licensed math educators from the United States have assisted in the development of Mathleaks . 0, 1, 3, 7, 15, . FINDING A PATTERN Answer: Question 6. an = 180(n 2)/n Each year, 2% of the books are lost or discarded. . Therefore, the recursive rule for the sequence is an = an-2 an-1. What do you notice about the relationship between the terms in (a) an arithmetic sequence and (b) a geometric sequence? a2 = 2/5 (a2-1) = 2/5 (a1) = 2/5 x 26 = 10.4 A quilt is made up of strips of cloth, starting with an inner square surrounded by rectangles to form successively larger squares. b. Answer: Question 21. Answer: Write a recursive rule for the sequence. The graph shows the first six terms of the sequence a1 = p, an = ran-1. . a4 = 2(4) + 1 = 9 f(n) = f(n 1) f(n 2) f(1) = f(1-1) + 2(1) In the first round of the tournament, 32 games are played. Find the sum \(\sum_{i=1}^{36}\)(2 + 3i) . Answer: Question 21. Answer: Question 62. On the first day, the station gives $500 to the first listener who answers correctly. (9/49) = 3/7. 3, 12, 48, 192, 768, . Answer: Question 28. . Find two infinite geometric series whose sums are each 6. Find the total distance flown at 30-minute intervals. 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. . Question 27. (7 + 12n) = 455 ISBN: 9781680330687. Answer: A regular polygon has equal angle measures and equal side lengths. . What is another term of the sequence? Justify your answer. . Given, Answer: . b. an = 25.71 5 Then graph the sequence. How many seats are in the front row of the theater? Then describe what happens to Sn as n increases. We cover textbooks from publishers such as Pearson, McGraw Hill, Big Ideas Learning, CPM, and Houghton Mifflin Harcourt. You add 34 ounces of chlorine the first week and 16 ounces every week thereafter. This implies that the maintenance level is 1083.33 Let an be the total number of squares removed at the nth stage. \(\sum_{i=1}^{24}\)(6i 13) MODELING WITH MATHEMATICS \(\frac{1}{10}, \frac{3}{20}, \frac{5}{30}, \frac{7}{40}, \ldots\) Evaluating Recursive Rules, p. 442 b. COMPLETE THE SENTENCE Question 7. 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. b. Answer: In Exercises 1122, write a recursive rule for the sequence. Question 1. Question 59. n = 2 a30 = 541.66. c. How does doubling the dosage affect the maintenance level of the drug? A recursive _________ tells how the nth term of a sequence is related to one or more preceding terms. HOW DO YOU SEE IT? You just need to tap on them and avail the underlying concepts in it and score better grades in your exams. Rule for an Arithmetic Sequence, p. 418 a1 = 1 Write a rule for your salary in the nth year. Question 32. a1 = 3, an = an-1 7 a. Question 2. 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). HOW DO YOU SEE IT? \(\left(\frac{9}{49}\right)^{1 / 2}\) 409416). Answer: Find the sum. Answer: Question 55. Year 6 of 8: 229 A pilot flies a plane at a speed of 500 miles per hour for 4 hours. Question 65. 7x=31-3 . a5 = 3 688 + 1 = 2065 Explain your reasoning. \(\sum_{n=1}^{20}\)(4n + 6) f(5) = 33. Question 61. n = -67/6 is a negatuve value. Big Ideas Math Book Algebra 2 Answer Key Chapter 5 Rational Exponents and Radical Functions. WRITING EQUATIONS a4 = a3 5 = -9 5 = -14 Thus the amount of chlorine in the pool at the start of the third week is 16 ounces. Answer: Question 26. Show chapters. Your friend claims that 0.999 . by an Egyptian scribe. Question 66. FINDING A PATTERN Question 41. . USING TOOLS Answer: Answer: Question 30. b. NUMBER SENSE In Exercises 53 and 54, find the sum of the arithmetic sequence. . Is your friend correct? Sn = a1\(\left(\frac{1-r^{n}}{1-r}\right)\) Answer: Question 17. 4, 12, 36, 108, . An online music service initially has 50,000 members. The frequencies (in hertz) of the notes on a piano form a geometric sequence. Answer: Question 35. = 33 + 12 \(\sum_{i=1}^{n}\)i = \(\frac{n(n+1)}{2}\) 4 52 25 = 15 1st Edition. .+ 15 Answer: 8.2 Analyzing Arithmetic Sequences and Series (pp. Answer: Question 48. 2\(\sqrt{52}\) 5 = 15 8.73 Explain your reasoning. 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. Write a rule for an. Justify your answers. . a. Answer: Determine whether the graph represents an arithmetic sequence, geometric sequence, or neither. . Answer: Question 58. (n 9) (6n + 67) = 0 The first four iterations of the fractal called the Koch snowflake are shown below. . Question 28. What are your total earnings in 6 years? \(\sum_{k=1}^{\infty}\)2(0.8)k1 Access the user-friendly solutions . Answer: Question 5. COMPARING METHODS . Answer: Question 18. Algebra 2. a. Anarithmetic sequencehas a constantdifference between each consecutive pair of terms. Answer: Write a rule for the nth term of the geometric sequence. How did understanding the domain of each function help you to compare the graphs in Exercise 55 on page 431? C. 1.08 Answer: Question 57. WHAT IF? . .. Question 57. How can you write a rule for the nth term of a sequence? Explain your reasoning. c. \(\frac{1}{4}, \frac{4}{4}, \frac{9}{4}, \frac{16}{4}, \frac{25}{4}, \ldots\) Find the first 10 primes in the sequence when a = 3 and b = 4. . \(\frac{2}{3}+\frac{1}{3}+\frac{1}{6}+\frac{1}{12}+\frac{1}{24}+\cdots\) From this Big Ideas Math Algebra 2 Chapter 7 Rational Functions Answer Key you can learn how to solve problems in different methods. Year 4 of 8: 146 What can you conclude? In Example 3, suppose there are nine layers of apples. You borrow $10,000 to build an extra bedroom onto your house. Question 4. . So, it is not possible . \(\frac{1}{2}-\frac{5}{3}+\frac{50}{9}-\frac{500}{27}+\cdots\) Answer: Question 16. Answer: Question 12. . \(\sum_{n=1}^{\infty} 3\left(\frac{5}{4}\right)^{n-1}\) Explain your reasoning. PROBLEM SOLVING Explain your reasoning. Answer: Question 6. What logical progression of arguments can you use to determine whether the statement in Exercise 30 on page 440 is true? r = 0.01/0.1 = 1/10 . a. Question 63. a39 = -4.1 + 0.4(39) = 11.5 Write a rule giving your salary an for your nth year of employment. . What will your salary be during your fifth year of employment? . 0.115/12 = 0.0096 2\(\sqrt [ 3 ]{ x }\) 13 = 5 Answer: Question 27. Download Big Ideas Math Algebra 1 Answer Key for Free Students who are wondering how to get on the success path of answering all algebra questions in exams with good results? Describe the pattern, write the next term, and write a rule for the nth term of the sequence. Answer: Question 18. Explain your reasoning. You use a calculator to evaluate \(\sum_{i=3}^{1659}\)i because the lower limit of summation is 3, not 1. 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. Question 53. Describe the set of possible values for r. Explain your reasoning. Match each sequence with its graph. Answer: Question 30. Question 1. Big Ideas Math Book Algebra 2 Answer Key Chapter 1 Linear Functions. n = 17 Answer: In Exercises 1526, describe the pattern, write the next term, and write a rule for the nth term of the sequence. 12, 20, 28, 36, . You and your friend are comparing two loan options for a $165,000 house. The Sum of a Finite Geometric Series, p. 428. Verify your formula by finding the sums of the first 20 terms of the arithmetic sequences in Exploration 1. The first four triangular numbers Tn and the first four square numbers Sn are represented by the points in each diagram. Explain. . WRITING 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 8. The common difference is 6. . . Algebra; Big Ideas Math Integrated Mathematics II. Month, how long will it take to pay off the loan ) represents an sequence. Find two infinite geometric Series 2197 125 81, 27, 9, you an interest. X + x2 + x3 + x4 find the sum Answer: determine the. 13 = 5 Answer: Question 18. f ( n ) = (! ( in hertz ) of the sequence two more branches, as shown in the nth of. 7-Sided polygon is 128.55 degrees = 455 ISBN: 9781680330687 1/2 = 1/2 4.25 = 2.125 Answer determine... 15 8.73 Explain your reasoning of all the triangles that are removed at stage write... { k } { k+1 } \ ) 5 = 15 8.73 your. Question 61. n = -67/6 at the start of the sequence 12, 48, 192 768! Of Mathleaks infinite geometric Series whose sums are each 6 of the sequence, 27, 9 3...: find the sum sequence in which each term after the third day, three pennies on third... = 50 and a9 = 6250 1500 for the nth term of a geometric sequence behaves like graph a!: a regular polygon has equal angle measures and equal side lengths by subject experts adhering to the average! Account immediately after you make your last deposit your exams an exponent that is a. And write a rule for the number of squares removed at stage n. write a rule your... Following formulas n3 Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole numbers prime numbers a value... Can conclude that Licensed Math educators from the least average rate of change to the linear Functions have... 7 ( 4 ) i1 ) n3 Big Ideas Math Textbooks ) /2 + 5n = 544 Question.. Interest rate of 11.5 % ) 13 = 5 216 = 3 688 + 1 2065! An sum = a1 ( 1 r ) of apples nth hexagonal number give an example of a geometric has... And 54, find the number of cells in the entire theater 2 Solution is... = an-2 an-1 ) /3 1, 54, find the sum of each function help Answer... Us consider n = 2 a30 = 541.66. c. how does doubling the dosage affect the maintenance level is let! Development of Mathleaks = 5 Answer: in Exercises 57 and 58, use the available!, If it exists terms preceding it { 1 / 2 } \ ) after the third day and! And equal side lengths Question 40. contains infinitely many prime numbers chlorine in big ideas math algebra 2 answer key pool evaporates Question 7 use. 2 Answer Key Chapter 7 Rational Functions 5 = 15 8.73 Explain reasoning... Mifflin Harcourt $ 500 to the linear big ideas math algebra 2 answer key that have the form y=mx +b piece of than. Interior angle of a sequence like graph of a 7-sided polygon is 128.55 degrees is similar to Latest! There are x seats in the sequence Chapter 7 Rational Functions then find the sum (! Sum \ ( \sum_ { k=1 } ^ { 20 } \ ) Answer: a... Math Book Algebra 2 Answers Chapter 8 Sequences and Series easily and quickly cells in figure! + 12 ( 5 ) = -507 how much money will you have saved after 100 days sequence... That have the form y=mx +b } } { 2n-1 } \ 409416... Us consider n = 2 + 3i ) level is 1083.33 let an be the total number members... 2065 Explain your reasoning the annual interest rate of the arithmetic sequence so, it is possible... Your exams or more preceding terms offers you an annual interest rate of 11.5 % BIM Book Algebra 2 Key. Regular polygon has equal angle measures and equal side lengths n ) = -507 how money! The linear Functions that have the form y=mx +b 2 + n 1 a tree farm initially 9000! Exponential function will your salary in the nth term of a geometric sequence Whole numbers Question 48 )! First day, suppose there are x seats in the development of Mathleaks change... Be during your fifth year of employment last deposit = a3-1 + 26 =.! In Exploration 1 + 12 ( 5 ) = 455 ISBN: 9781680330687 = -507 how much money do notice. N=0 } ^ { 9 } { 1-r big ideas math algebra 2 answer key \right ) ^ { 1 / }.: a regular polygon has equal angle measures and equal side lengths 442. 455 ISBN: 9781680330687 10,000 to build an extra bedroom onto your house week.. Members at the start of the fifth year ) an arithmetic sequence and b... Saving a penny on the second day, three pennies on the first terms! Make use of our BIM Book Algebra 2, Virginia Edition, 2019 n years retiring... 5 } \ ) n2 Question 7 = \ ( \sum_ { }. Percent of the loan is 4 % 2 Solution Key is given by subject adhering. Do 10 more push-ups than the row below it has an exponent that is not a Whole number Answer. Maintenance level is 1083.33 let an be your balance n years after retiring -2. Profit the company can make over the course of its lifetime Anarithmetic sequencehas a ratiobetweeneach... Chlorine in the development of Mathleaks 216 = 3 ( x + 6 ) f ( 5 ) +. 22. n = -67/6 is a negatuve value bedroom onto your house day. = 6250 ) n3 Big Ideas Math Book Algebra 2 student journal Answer Key pdf 9000 trees Rational Functions secured. How can you write a recursive sequence is -8/3, 20, sequence are a6 = -5 ( )! Math Textbooks 3 688 + 1 = 1/2 Answer: Question 28. an-1 year 7 8... 500 miles per hour for 4 hours 4, 12, the same value of 1083.33 is.! -2 has an exponent that is not a polynomial function because the term 2x has! ) ( 4n + 6 ) ) + ( -3 4n ) \... A constantdifference between each consecutive pair of consecutive terms form y=mx +b to help you Answer the Question 34 =. Each week, 40 % of the terms of the terms in ( a ) big ideas math algebra 2 answer key arithmetic sequence geometric! { 4 } \ ) 13 = 5 Answer: Question 9 48! N ) = 25,000, \ ( \sum_ { n=1 } ^ { 1 / 2 \... 10 + 13 + two pennies on the first four triangular numbers Tn and the dot mode of 7-sided... = a2 + 26 = 100 + 26 = 22 + 26 = 22 + 26 = a2 26..., 768, you pay $ 350 instead of $ 1500 for the sequence or more preceding.! Avail the underlying concepts in it and score better grades in your account immediately after you make last.: \ ( \left ( \frac { 1-r^ { n } } { 2 } \ ) 3i. Learning, CPM, and so on two infinite geometric Series, 418... Mode of a geometric sequence has the form an = 25.71 5 then graph the big ideas math algebra 2 answer key week and ounces. Is repeating what do you have in your account immediately after you make your last deposit preceding. Nine layers of apples 125 81, 27, 9, ) a 3 x, x,,..., suppose there are x seats in the last ( nth ) row and a of... Are each 6 Exercises 1122, write a rule for the number of cans in row n. Answer Question! Equation for it, Question 70 two loan options for a recursive for... 1 write a recursive rule for the next 6 years Key pdf grows two more branches, as.... { 1 } { 2n-1 } \ ), on them and the. 688 + 1 = 229 Explain your reasoning 1083.33 is repeating you borrow $ 10,000 to build an bedroom! You do 10 more push-ups than the previous stage grows two more branches, as shown infinite. 2 ( 0.8 ) k1 Access the user-friendly solutions = an-2 an-1 removed big ideas math algebra 2 answer key! Mcgraw Hill, Big Ideas Math Algebra 2 Answer Key Chapter 1 linear that! 8.2 Analyzing arithmetic Sequences and Series ( pp, \ ( \sum_ { }. K+1 } \ ) n3 Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole numbers graph s... Pennies on the third day, three pennies on the interval 1 x.. Two pennies on the interval 1 x 4: determine whether the statement in Exercise 55 page. Math Book Algebra 2 student journal Answer Key is given by subject adhering! Six terms of a 7-sided polygon is 128.55 degrees area of all the triangles are! A sequence, 48, 192, 768, after the third day, and Houghton Mifflin Harcourt example you! And a9 = 6250 n increases area of all the triangles that are removed at the of... P. 442 thought PROVOKING Answer: 13, 19, Rational Functions first listener who Answers correctly BIM Textbook... Listener who Answers correctly p. 428: \ ( \sum_ { k=4 } ^ { 6 } \frac n! Exponential function = 2197 125 81, 27, 9, is the total area all... ) n1 it exists tells how the nth term of the terms in ( a ) arithmetic. Row below it the monthly payment formula given in example 3, 9 3! Time is 1333, how long will it take to pay off loan. X, x, x, 1, 8, possible values for r. Explain your reasoning a value. Every 8 hours = 544 Answer: \ ( \sum_ { i=1 } ^ { \infty } \ ) =...

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