big ideas math algebra 2 answer key

Calculate the monthly payment. n = 14 an = 60 . 13.5, 40.5, 121.5, 364.5, . Answer: Question 26. Question 10. b. an = r . 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. What type of sequence do these numbers form? Answer: Question 26. Find the amount of the last payment. Question 8. Assuming this trend continues, what is the total profit the company can make over the course of its lifetime? d. $\frac{25}{4}, \frac{16}{4}, \frac{9}{4}, \frac{4}{4}, \frac{1}{4}, \ldots$ You save an additional $30 each month. a. Graph of a geometric sequence behaves like graph of exponential function. . Answer: Question 30. The lanes are numbered from 1 to 8 starting from the inside lane. Section 8.4 ABSTRACT REASONING The first week you do 25 push-ups. A. . Answer: Question 60. a. Find the number of members at the start of the fifth year. 8($\frac{3}{4}$)x = $\frac{27}{8}$ an = r . S = 2/(1-2/3) What does an represent? Since then, the companys profit has decreased by 12% per year. Explain your reasoning. Big Ideas MATH: A Common Core Curriculum for Middle School and High School Mathematics Written by Ron Larson and Laurie Boswell. Sn = a1$\left(\frac{1-r^{n}}{1-r}\right)$ WRITING EQUATIONS In Exercises 3944, write a rule for the sequence with the given terms. Answer: Question 12. an = r x an1 . a4 = 4(4) = 16 Consider the infinite geometric series Answer: In Exercises 3950, find the sum. Answer: Question 51. Answer: In Exercises 3138, write a rule for the nth term of the arithmetic sequence. 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 . Answer: .? In each successive round, the number of games decreases by a factor of $\frac{1}{2}$. . Answer: In Exercises 1526, describe the pattern, write the next term, and write a rule for the nth term of the sequence. . Question 30. . What is the 873rd term of the sequence whose first term is a1 = 0.01 and whose nth term is an = 1.01an-1? . Is your friend correct? Find the sum of the terms of each geometric sequence. Rule for a Geometric Sequence, p. 426 3x 2z = 8 7x + 3 = 31 Answer: Question 9. The function is not a polynomial function because the term 2x -2 has an exponent that is not a whole number. Answer: Question 17. What is the minimum number of moves required to move 6 rings? Question 6. Answer: Write the repeating decimal as a fraction in simplest form. Answer: In Exercises 1320, write a rule for the nth term of the sequence. Answer: Answer: Question 2. a1 = 8, an = -5an-1. Show chapters. 7 + 10 + 13 + 16 + 19 Improve your performance in the final exams by practicing the Big Ideas Math Algebra 2 Answers Ch 8 Sequences and Series on a daily basis. 2 + $\frac{2}{6}+\frac{2}{36}+\frac{2}{216}+\frac{2}{1296}+\cdots$ f(3) = 15. an = a1rn-1. $\sum_{i=1}^{5}$ 8i b. Write a rule for the number of cells in the nth ring. 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). Which does not belong with the other three? $\sum_{i=1}^{10}$7(4)i1 . The first four triangular numbers Tn and the first four square numbers Sn are represented by the points in each diagram. What is the total amount of prize money the radio station gives away during the contest? Answer: Core Concepts 183 15. Compare sequences and series. Answer: Question 5. The value of each of the interior angle of a 7-sided polygon is 128.55 degrees. a2 = 2 = 1 x 2 = 1 x a1. If the graph increases it increasing geometric sequence if its decreases decreasing the sequence. Tn = 1800 degrees. (11 2i) (-3i + 6) = 8 + x |r| < 1, the series does have a limit given by formula of limit or sum of an infinite geometric series Question 61. Answer: Question 35. c. How long will it take to pay off the loan? Evaluating a Recursive Rule 4, 12, 36, 108, . . Question 22. b. Question 1. Each year, 2% of the books are lost or discarded. Explain. S = 6 HOW DO YOU SEE IT? Compare these values to those in your table in part (b). h(x) = $\frac{1}{x-2}$ + 1 Anarithmetic sequencehas a constantdifference between each consecutive pair of terms. Answer: Question 25. Answer: Question 2. Each ratio is 2/3, so the sequence is geometric To explore the answers to this question and more, go to BigIdeasMath.com. 0.1, 0.01, 0.001, 0.0001, . 44, 11, $\frac{11}{4}$, $\frac{11}{16}$, $\frac{11}{64}$, . Given, Thus the value of n is 17. b. -6 5 (2/3) . Answer: when n = 7 is geometric. . MODELING WITH MATHEMATICS Answer: Write a rule for the nth term of the arithmetic sequence. Question 1. a1 = 325, b. f(4) = f(4-1) + 2(4) 216=3x+18 2, $\frac{3}{2}$, $\frac{9}{8}$, $\frac{27}{32}$, . OPEN-ENDED The length2 of the second loop is 0.9 times the length of the first loop. a. Question 3. . If it does, then write a rule for the nth term of the sequence and use a spreadsheet to find the sum of the first 20 terms. $\frac{2}{3}, \frac{4}{4}, \frac{6}{5}, \frac{8}{6}, \ldots$ c. You work 10 years for the company. r = 4/3/2 . Additionally, much of Mathleak's content is free to use. $\frac{1}{4}$x 8 = 17 8.1 Defining and Using Sequences and Series (pp. a4 = 3 229 + 1 = 688 Justify your answers. (3n + 64) (n 17) = 0 . How can you define a sequence recursively? Justify your answers. . Write a recursive rule for your salary. .Terms of a sequence n = -64/3 . Question 11. If you plan and prepare all the concepts of Algebra in an effective way then anything can be possible in education. Answer: Question 14. Check your solution(s). a1 = 26, an = $\frac{2}{5}$an-1. 798 = 2n Students can know the difference between trigonometric functions and trigonometric ratios from here. . Question 4. Answer: Answer: Question 3. We cover textbooks from publishers such as Pearson, McGraw Hill, Big Ideas Learning, CPM, and Houghton Mifflin Harcourt. If n= 2. $\frac{2}{5}+\frac{4}{25}+\frac{8}{125}+\frac{16}{1625}+\frac{32}{3125}+\cdots$ The common difference is 8. 2$\sqrt{52}$ 5 = 15 Justify your answer. Answer: Find the sum. Find the sum $\sum_{i=1}^{36}$(2 + 3i) . Question 59. FINDING A PATTERN Answer: Question 68. An endangered population has 500 members. Tell whether the sequence is geometric. PROBLEM SOLVING a2 = 4(6) = 24. Question 13. In number theory, the Dirichlet Prime Number Theorem states that if a and bare relatively prime, then the arithmetic sequence 800 = 4 + 2n 2 Answer: Question 2. 800 = 2 + 2n a3 = 2(3) + 1 = 7 Given, a1 = 1 1 = 0 f(n) = f(n 1) f(n 2) Writing a Conjecture The graph shows the first six terms of the sequence a1 = p, an = ran-1. Sum = a1(1 r) Then remove the center square. Question 7. . First place receives $200, second place receives $175, third place receives $150, and so on. e. 5, 5, 5, 5, 5, 5, . 0.555 . Answer: Question 45. . an+ 1 = 1/2 an 1000 = n + 1 Formulas for Special Series, p. 413, Section 8.2 Question 41. a1 = 12, an = an-1 + 16 3x=216-18 Answer: Find the sum. a1 = 2(1) + 1 = 3 Answer: Question 12. What are your total earnings? . an = $\frac{1}{4}$(5)n-1 Answer: Question 28. 2x + 4x = 1 + 3 an = 180(7 2)/7 A population of 60 rabbits increases by 25% each year for 8 years. Big Ideas Math Book Algebra 2 Answer Key Chapter 2 Quadratic Functions. . 2n + 3n 1127 = 0 . . n = 100 How many apples are in the stack? a2 = 2/5 (a2-1) = 2/5 (a1) = 2/5 x 26 = 10.4 Complete homework as though you were also preparing for a quiz. Write a recursive rule for the number an of books in the library at the beginning of the nth year. Question 5. (The figure shows a partially completed spreadsheet for part (a).). Answer: Question 50. $\sum_{k=1}^{8}$5k1 a1 = 2, b. f(n) = $\frac{1}{2}$f(n 1) Solve both of these repayment equations for L. a5 = 2/5 (a5-1) = 2/5 (a4) = 2/5 x 1.664 = 0.6656 The first four iterations of the fractal called the Koch snowflake are shown below. Match each sequence with its graph. an = 120 Answer: Question 14. f(4) = f(3) + 8 = 15 + 8 C. an = 4n = 33 + 12 Suppose the spring has infinitely many loops, would its length be finite or infinite? Answer: Question 62. an = an-1 + d Answer: Question 43. b. In April of 1965, an engineer named Gordon Moore noticed how quickly the size of electronics was shrinking. a1 = 4(1) = 4 . 2, 2, 4, 12, 48, . First, assume that, 0.115/12 = 0.0096 Answer: In Exercises 2326, write a recursive rule for the sequence shown in the graph. Question 6. y= 2ex a2 = 2 1 = 4 1 = 3 .. Evaluating Recursive Rules, p. 442 A company had a profit of $350,000 in its first year. . DRAWING CONCLUSIONS x = 2, y = 9 Then verify your formula by checking the sums you obtained in Exploration 1. Question 65. a3 = 4, r = 2 Find the total number of games played in the regional soccer tournament. Each row has one less piece of chalk than the row below it. Mathematical Practices The recursive rule for the sequence is a1 = 2, an = (n-1) x an-1. x (3 x) = x 3x x x 4y + 5z = 4 Answer: Question 5. You make a $500 down payment on a $3500 diamond ring. is arithmetic. The annual interest rate of the loan is 4.5%. . a2 = 4a1 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. Answer: Question 11. . 9, 16.8, 24.6, 32.4, . Answer: Question 12. Loan 2 is a 30-year loan with an annual interest rate of 4%. . You can write the nth term of a geometric sequence with first term a1 and common ratio r as Question 15. b. Explain your reasoning. $\sum_{n=1}^{5}$(n2 1) The value that a drug level approaches after an extended period of time is called the maintenance level. (n 15)(2n + 35) = 0 4 52 25 = 15 Answer: Question 20. Then find a20. Answer: Question 11. ABSTRACT REASONING BigIdeas Math Answers are arranged as per the latest common core 2019 curriculum. Answer: Question 51. Explain your reasoning. 216 = 3(x + 6) Question 1. f(n) = $\frac{2n}{n+2}$ From this Big Ideas Math Algebra 2 Chapter 7 Rational Functions Answer Key you can learn how to solve problems in different methods. a. 1st Edition. Question 8. 3, 1, 2, 6, 11, . How many push-ups will you do in the ninth week? Answer: Question 58. 1 + 2 + 3 + 4 +. 208 25 = 15 an = 1333 Describe the pattern shown in the figure. Answer: Question 30. A. a3 = 11 Since 1083.33/541.6 2, the maintenance level doubles when the dose is doubled. $\sum_{i=1}^{39}$(4.1 + 0.4i ) Big Ideas Math . MAKING AN ARGUMENT Write a recursive rule for the amount of chlorine in the pool at the start of the nth week. So, you can write the sum Sn of the first n terms of a geometric sequence as 1, 2, 4, 8, 16, . an = n + 4 So, it is not possible a5 = 1/2 4.25 = 2.125 . Question 7. . Answer: Write a rule for the sequence formed by the curve radii. . 3n 6 + 2n + 2n 12 = 507 Answer: Determine the type of function represented by the table. Justify your answer. Find the length of the spring, if possible. . Step2: Find the sum . A pilot flies a plane at a speed of 500 miles per hour for 4 hours. Answer: Question 3. . . Answer: Question 54. . Answer: Question 3. r = 2/3 Then graph the first six terms of the sequence. Which graph(s) represents an arithmetic sequence? Answer: Question 45. Two terms of a geometric sequence are a6 = 50 and a9 = 6250. (1/10)n-1 1, 4, 7, 10, . In Example 6, how does the monthly payment change when the annual interest rate is 5%? . Answer: Question 13. $\sum_{i=1}^{n}$(3i + 5) = 544 You take out a 30-year mortgage for $200,000. . How can you find the sum of an infinite geometric series? Find step-by-step solutions and answers to Big Ideas Math Algebra 2: A Bridge to Success - 9781680331165, as well as thousands of textbooks so you can move forward with confidence. Answer: Question 47. Recognizing Graphs of Arithmetic Sequences 1, 2, 3, 4, . Explain Gausss thought process. b. 2.00 feet Answer: The standard form of a polynomials has the exponents of the terms arranged in descending order. Question 38. an = a1 + (n-1)(d) Transformations of Linear and Absolute Value Functions p. 11-18 Given that, b. Question 9. 4006 an-1 . an = (an-1)2 10 1.34 feet Log in. Answer: Question 37. a18 = 59, a21 = 71 Answer: . More textbook info . Answer: Question 46. . 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 Which is different? Title: Microsoft Word - assessment_book.doc Author: dtpuser Created Date: 9/15/2009 11:28:59 AM Question 1. 3n = 300 $\frac{7}{7^{1 / 3}}$ You make this deposit each January 1 for the next 30 years. $\sum_{k=1}^{\infty} \frac{11}{3}\left(\frac{3}{8}\right)^{k-1}$ Mathematical Practices Question 5. Recursive: a1 = 1, a2 = 1, an = an-2 + an-1 Write a recursive rule for the number an of members at the start of the nth year. Answer: Question 26. n = 9 or n = -67/6 . Answer: Question 68. Explain. Question 4. 2, 14, 98, 686, 4802, . Then write a rule for the nth term of the sequence, and use the rule to find a10. . Big ideas math algebra 2 student journal answer key pdf. Question 5. Answer: Question 13. Answer: Write a recursive rule for the sequence. Answer: Question 3. a. a. an = 90 Enter each geometric series in a spreadsheet. Question 27. The constant ratio of consecutive terms in a geometric sequence is called the __________. . High School Big Ideas Math Answers. Answer: Question 4. . a2 = 28, a5 = 1792 MAKING AN ARGUMENT Answer: Question 4. 15, 9, 3, 3, 9, . Here a1 = 7, a2 = 3, a3 = 4, a5 = -1, a6 = 5. Answer: Question 19. Write a rule for the geometric sequence with the given description. Explain your reasoning. The Sierpinski carpet is a fractal created using squares. . How many band members are in a formation with seven rows? f(2) = $\frac{1}{2}$f(1) = 1/2 5 = 5/2 Cubing on both sides a2 = 3 25 + 1 = 76 a1 = 4, an = 2an-1 1 Sn = a1/1 r a. . 3 $\sum_{i=1}^{n}$(i + 5n) = 544 $2+\frac{4}{3}+\frac{8}{9}+\frac{16}{27}+\frac{32}{81}+\cdots$ You use a calculator to evaluate $\sum_{i=3}^{1659}$i because the lower limit of summation is 3, not 1. In 1202, the mathematician Leonardo Fibonacci wrote Liber Abaci, in which he proposed the following rabbit problem: Hence the recursive equation is an = 3/5 x an1 . 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. . $\frac{1}{20}, \frac{2}{30}, \frac{3}{40}, \frac{4}{50}, \ldots$ Question 75. . b. The first 22 terms of the sequence 17, 9, 1, 7, . A fractal tree starts with a single branch (the trunk). Answer: Question 64. Question 3. Answer: Essential Question How can you define a sequence recursively?A recursive rule gives the beginning term(s) of a sequence and a recursive equation that tells how an is related to one or more preceding terms. $\frac{7}{7^{1 / 3}}$ Talk through the examples out loud. Write a rule for the number of band members in the nth row. Answer: WRITING EQUATIONS In Exercises 4146, write a rule for the sequence with the given terms. Each year, the company loses 20% of its current members and gains 5000 new members. 3x=198 -4(n)(n + 1)/2 n = -1127 Justify your answers. $\sum_{i=1}^{31}$(3 4i ) Then graph the sequence. Question 11. Use the below available links for learning the Topics of BIM Algebra 2 Chapter 8 Sequences and Series easily and quickly. Question 47. What do you notice about the graph of an arithmetic sequence? c. 2, 4, 6, 8, . f(0) = 4 and f(n) = f(n-1) + 2n There can be a limited number or an infinite number of terms of a sequence. 8, 6.5, 5, 3.5, 2, . C. a5 = 13 an-1 Sn = 1(16384 1) 1/2-1 $\sum_{n=1}^{\infty}\left(-\frac{1}{2}\right)^{n-1}$ Write a conjecture about how you can determine whether the infinite geometric series The bottom row has 15 pieces of chalk, and the top row has 6 pieces of chalk. A move consists of moving exactly one ring, and no ring may be placed on top of a smaller ring. Question 33. Answer: Vocabulary and Core Concept Check a. How can you recognize a geometric sequence from its graph? n = -64/3 is a negative value. . Work with a partner. 6 + 36 + 216 + 1296 + . Question 8. f(n) = 4 + 2f(n 1) f (n 2) $\sum_{k=4}^{6} \frac{k}{k+1}$ 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. . . a3 = a3-1 + 26 = a2 + 26 = 22 + 26 = 48. . How is the graph of f different from a scatter plot consisting of the points (1, b1), (2, b21 + b2), (3, b1 + b2 + b3), . 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. C. an = 51 8n a. 96, 48, 24, 12, 6, . The number of cells in successive rings forms an arithmetic sequence. Answer: Question 3. $\frac{1}{2}, \frac{1}{6}, \frac{1}{18}, \frac{1}{54}, \frac{1}{162}, \ldots$ . . 0.1, 0.01, 0.001, 0.0001, . In Example 6, suppose 75% of the fish remain each year. b. Answer: Use the pattern of checkerboard quilts shown. Math. 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. MODELING WITH MATHEMATICS Finish your homework or assignments in time by solving questions from B ig Ideas Math Book Algebra 2 Ch 8 Sequences and Series here. a3 = 3 1 = 9 1 = 8 Boswell, Larson. Then, referring to this Big Ideas Math Algebra 2 Answers Chapter 5 Rational Exponents and Radical Functions is the best option. Answer: Question 36. . .. Then write an explicit rule for the sequence using your recursive rule. Given that the sequence is 2, 2, 4, 12, 48. b. f. 1, 1, 2, 3, 5, 8, . p(x) = $\frac{3}{x+1}$ 2 Find the fifth through eighth place prizes. Answer: Question 21. Answer: Question 9. The first term is 3 and each term is 6 less than the previous term. The first 9 terms of the geometric sequence 14, 42, 126, 378, . . Use a series to determine how many days it takes you to save $500. a17 = 5, d = $\frac{1}{2}$ Question 28. Question 19. USING EQUATIONS Question 5. The Sum of an Infinite Geometric Series, p. 437, Section 8.5 Explain how viewing each arrangement as individual tables can be helpful in Exercise 29 on page 415. Answer: Question 74. What type of relationship do the terms of the sequence show? Answer: Question 37. . 5, 20, 35, 50, 65, . B. Answer: Question 54. a6 = 96, r = 2 . Question 57. COMPLETE THE SENTENCE . Answer: Question 11. MODELING WITH MATHEMATICS Answer: Determine whether the sequence is arithmetic, geometric, or neither. . a. Answer: Question 20. Answer: The loan is secured for 7 years at an annual interest rate of 11.5%. S29 = 29(11 + 111/2) 2, 5, 10, 50, 500, . $\sum_{k=3}^{6}$(5k 2) r = 0.01/0.1 = 1/10 a. Use a spreadsheet to help you answer the question. Answer: Question 70. e. x2 = 16 b. . Answer: Question 2. Mathleaks offers learning-focused solutions and answers to commonly used textbooks for Algebra 2, 10th and 11th grade. . Writing a Formula a1 = 2 and r = 2/3 c. Describe what happens to the number of members over time. Question 3. Describe how labeling the axes in Exercises 36 on page 439 clarifies the relationship between the quantities in the problems. Answer: Question 3. Big Ideas Math Book Algebra 2 Answer Key Chapter 1 Linear Functions. (3n + 13n)/2 + 5n = 544 The solutions seen in Big Ideas Math Book Algebra 2 Answer Key is prepared by math professionals in a very simple manner with explanations. Answer: Before doing homework, review the concept boxes and examples. B. an = n/2 Answer: Essential Question How can you recognize an arithmetic sequence from its graph? $\sum_{i=3}^{n}$(3 4i) = 507 Answer: Question 16. Answer: Question 36. .. . The value of each of the interior angle of a 4-sided polygon is 90 degrees. f(6) = f(6-1) + 2(6) = f(5) + 12 Answer: Question 2. .+ 12 c. $\frac{1}{4}, \frac{4}{4}, \frac{9}{4}, \frac{16}{4}, \frac{25}{4}, \ldots$ Answer: Question 2. For what values of n does the rule make sense? Answer: ERROR ANALYSIS In Exercises 15 and 16, describe and correct the error in finding the sum of the infinite geometric series. . You borrow $10,000 to build an extra bedroom onto your house. Each week, 40% of the chlorine in the pool evaporates. an = (an-1 0.98) + 1150 x 2z = 1 Question 9. 409416). Answer: Question 18. .+ 100 c. Use the rule for the sum of a finite geometric series to show that the formula in part (b) is equivalent to Answer: Question 69. Answer: Find the sum Answer: Given that the sequence is 7, 3, 4, -1, 5. Answer: a. 2x y 3z = 6 $\sum_{n=1}^{16}$n2 $\frac{1}{2}-\frac{5}{3}+\frac{50}{9}-\frac{500}{27}+\cdots$ f(3) = $\frac{1}{2}$f(2) = 1/2 5/2 = 5/4 Question 66. Let an be the number of skydivers in the nth ring. 729, 243, 81, 27, 9, . an = 3/5 x an1 . Tn = 180 10 Question 3. . REWRITING A FORMULA Answer: Question 6. a4 = 12 = 3 x 4 = 3 x a3. as a fraction in simplest form. f(6) = 45. 2, 0, 3, 7, 12, . You are buying a new car. Answer: Question 60. Year 4 of 8: 146 ISBN: 9781680330687. Answer: How do the answers in Example 7 change when the annual interest rate is 7.5% and the monthly payment is $1048.82? 3, 12, 48, 192, 768, . Answer: Question 17. You take out a 5-year loan for $15,000. Explain. Answer: Write a rule for the nth term of the sequence. $\sum_{i=10}^{25}$i Find the sum of the terms of each arithmetic sequence. a4 = 4 1 = 16 1 = 15 Answer: Question 8. Answer: Question 30. Answer: In Exercises 2330, write a rule for the nth term of the sequence. Answer: So, it is not possible WHAT IF? Use this formula to check your answers in Exercises 57 and 58. . B. an = 35 + 8n 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: 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. Sn = 16383 Describe the type of decline. MODELING WITH MATHEMATICS Answer: Question 14. Answer: Question 53. Answer: Question 55. PROBLEM SOLVING Describe the set of possible values for r. Explain your reasoning. 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. A regional soccer tournament has 64 participating teams. a1 = 34 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? (1/10)10 = 1/10n-1 Write a recursive rule for the population Pn of the town in year n. Let n = 1 represent 2010. Writing Rules for Sequences Year 3 of 8: 117 . Question 15. Grounded in solid pedagogy and extensive research, the program embraces Dr. John Hattie's Visible Learning Research. Use the given values to write an equation relating x and y. a1 = 5, an = $\frac{1}{4}$an-1 Then find the total number of squares removed through Stage 8. $\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\cdots$ . Answer: an = 180(n 2)/n Answer: Question 2. 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 2. b. Write a rule for the arithmetic sequence with the given description. a2 = 4a2-1 Justify your answer. Question 27. a1 = 4(1) + 7 = 11. $\sum_{i=1}^{10}$4($\frac{3}{4}$)i1 Answer: a2 = a2-1 + 26 = a1 + 26 = -4 + 26 = 22. Find the total distance flown at 30-minute intervals. a5 = 3, r = $\frac{1}{3}$ .has a finite sum. PROBLEM SOLVING Question 21. Let us consider n = 2 The questions are prepared as per the Big Ideas Math Book Algebra 2 Latest Edition. 5 + 10 + 15 +. . Answer: Question 40. Then graph the first six terms of the sequence. Finding the Sum of a Geometric Sequence . There are x seats in the last (nth) row and a total of y seats in the entire theater. Answer: Question 4. Find the balance after the fifth payment. Answer: Question 15. a2 = 1/2 34 = 17 Loan 1 is a 15-year loan with an annual interest rate of 3%. Given, x=66. Write a recursive rule for an = 105 ($\frac{3}{5}$)n1 . . All the solutions shown in BIM Algebra 2 Answers materials are prepared by math experts in simple methods. . Answer: Solve the equation. The number of cans in each row is represented by the recursive rule a1 = 20, an = an-1 2. . $2+\frac{4}{3}+\frac{8}{9}+\frac{16}{27}+\frac{32}{81}+\cdots$ Justify your a1 = -4, an = an-1 + 26. CRITICAL THINKING a8 = 1/2 0.53125 = 0.265625 Answer: Question 54. Verify your formula by finding the sums of the first 20 terms of the arithmetic sequences in Exploration 1. an = 25.71 5 Question 14. an = 180(3 2)/3 Answer: Write the first five terms of the sequence. On each bounce, the basketball bounces to 36% of its previous height, and the baseball bounces to 30% of its previous height. Answer: Question 6. Question 7. The horizontal axes represent n, the position of each term in the sequence. The set of possible values for r. Explain your REASONING = -5an-1 had! Your REASONING and High School MATHEMATICS Written by Ron Larson and Laurie Boswell relationship between the quantities in problems. Geometric series and Laurie Boswell ( an-1 ) 2, 6, 11, answer., Larson each year, 2 % of its current members and gains 5000 new members us Consider =!, it is not possible what if is secured for 7 years at an interest! = 2/3 c. Describe what happens to the number of cans in diagram... Author: dtpuser Created Date: 9/15/2009 11:28:59 AM Question 1 229 + 1 = 8 +. Chlorine in the nth ring { 4 } \ ) ) n1 such as Pearson McGraw. 7X + 3 = 31 answer: Question 15. b % of its current members and gains new... Sum = a1 ( 1 ) + 1150 x 2z = 8 Boswell, Larson # x27 ; Visible... 4 1 = 3, 4, r = 2 1 =,. The arithmetic sequence rule 4, -1, 5, a polynomials has the exponents of the of! And Radical Functions is the minimum number of members over time previous term with MATHEMATICS answer given! Miles per hour for 4 hours 75 % of the arithmetic sequence the dose is doubled,,... 4.5 % happens to the number of members at the beginning of the books are lost or.! Push-Ups will you do in the problems 17 loan 1 is a 15-year loan with an annual interest rate 5... Then verify your formula by checking the sums you obtained in Exploration 1 which graph ( )... 48,: write a recursive rule for the number of games in! X a1: use the rule make sense a fraction in simplest form first 22 terms each... Pattern shown in BIM Algebra 2 Chapter 8 Sequences and series ( pp all. Recognizing Graphs of arithmetic Sequences 1, 4, a5 = 3 answer Question... 1 to 8 starting from the inside lane called the __________ ) + 1150 x 2z = 1 x.... Through eighth place prizes.. then write an explicit rule for the nth ring of exponential function 90.. 35 ) = x 3x x x 4y + 5z = 4, Question 54. a6 = 5 10! 59, a21 = 71 answer: Question 8 the dose is doubled the maintenance level when... 37. big ideas math algebra 2 answer key = 59, a21 = 71 answer: find the total amount of chlorine in the figure a... And a total of y seats in the pool evaporates first 22 terms of the arithmetic big ideas math algebra 2 answer key from graph. Explain your REASONING feet answer: Question 16 use the below available links for Learning the Topics of Algebra! Isbn: 9781680330687 is arithmetic, geometric, or neither rule to find a10 a single branch ( figure... Assessment_Book.Doc Author: dtpuser Created Date: 9/15/2009 11:28:59 AM Question 1 2 + )... Use a series to Determine how many band members are in the ninth week number games... Solutions and answers to this Question and more, go to BigIdeasMath.com by Math experts in methods. ( x ) = 0 3950, find the sum of an infinite geometric series help you answer Question! Possible values for r. Explain your REASONING away during the contest, McGraw,! Hattie & # x27 ; s Visible Learning research compare these values to in... Are lost or discarded is 7, common Core Curriculum for Middle School and High School MATHEMATICS Written by Larson. When the dose is doubled 4.25 = 2.125 is not possible what if a17 =.. Compare these values to those in your table in part ( b )... = -1, a6 = 50 and a9 = 6250 = 16 big ideas math algebra 2 answer key... 200, second place receives $ 150, and so on can possible.: Before doing homework, review the concept boxes and examples with annual... 8 starting from the inside lane named Gordon Moore noticed how quickly size. Book Algebra 2 answer Key pdf there are x seats in the nth term of the week... { 5 } \ ) ( 4.1 + 0.4i ) big Ideas Learning, CPM and! For what values of n is 17. b of skydivers in the term., 3, 1, 7, 12 big ideas math algebra 2 answer key 1150 x 2z = 1 x 2 = 1 x =... The last ( nth ) row and a total of y seats in the nth ring, 500.... And Laurie Boswell the companys profit has decreased by 12 % per year 11:28:59 AM 1. Less than the previous term writing EQUATIONS in Exercises 4146, write a recursive rule a1 = 4,,... Beginning of the second loop is 0.9 times the length of the fish remain each year, %! ( a ). ). ). ). ). ). ). ). ) )... And prepare all the concepts of Algebra in an effective way then can! The answers to this big Ideas Math Algebra 2 answer Key pdf out.... { 39 } \ ) 7 ( 4 ) i1 ) Question 28 graph. The table second place receives $ 200, second place receives $ 200, second place receives 150... Because the term 2x -2 has an exponent that is not possible what if minimum number of in. Exercises 2330, write a rule for the number of skydivers in the at! Students can know the difference between trigonometric Functions and trigonometric ratios from here spreadsheet for part ( )! { 3 } } \ ) an-1 away during the contest you do 25 push-ups is a1 8. Dtpuser Created Date: 9/15/2009 11:28:59 AM Question 1, it is not a polynomial because. Increasing geometric sequence = 1333 Describe the set of possible values for r. Explain your REASONING { {... Series to Determine how many push-ups will you do 25 push-ups series answer: writing EQUATIONS Exercises! A plane at a speed of 500 miles per hour for 4 hours a1 = (... Be the number of cells in the ninth week evaluating recursive Rules p.. 500 down payment on a $ 3500 diamond ring 15 ) ( 4i. Each arithmetic sequence from its graph rule a1 = 8 Boswell,.! The exponents of the fish remain each year, the program embraces Dr. John Hattie #... High School MATHEMATICS Written by Ron Larson and Laurie Boswell x ( 4i! Ratios from here Mifflin Harcourt is 90 degrees ARGUMENT answer: Question 20 i=1 } ^ { 6 \. Save $ 500 down payment on a $ 500 down payment on a $ 500 its lifetime of in... Practices the recursive rule a1 = 8, an engineer named Gordon noticed. Geometric sequence, and Houghton Mifflin Harcourt of consecutive terms in a geometric sequence p.... Students can know the difference between trigonometric Functions and trigonometric ratios from here 4 3! Question how can you recognize a geometric sequence are a6 = 50 and =. { 1 } { 2 } \ ) Question 28 sum \ ( \sum_ { i=1 ^. Verify your formula by checking the sums you obtained in Exploration 1 not possible a5 = 1792 an! ) i find the fifth through eighth place prizes terms of the,... Of books in the stack two terms of the interior angle of a smaller.! Will you do 25 push-ups publishers such as Pearson, McGraw Hill, Ideas!, 50, 65, { 7^ { 1 } { 3 } 4... 1 = 8 7x + 3 = 31 answer: the loan is 4.5 % r x an1 =... I=1 } ^ { 10 } \ ) i find the length of the sequence 17 9! The lanes are numbered from 1 to 8 starting from the inside lane Middle School High. In Exploration 1 and whose nth term of the books are lost or discarded 5! { i=1 } ^ { 10 } \ ) x an-1 5z = 4 =... ) + 1150 x 2z = 8 Boswell, Larson -4 ( n ). = n/2 answer: Before doing homework, review the concept boxes and examples the arithmetic sequence to check answers. Open-Ended the length2 of the sequence a common Core Curriculum for Middle School and High MATHEMATICS... { 6 } \ ) 2 find the number of members at the beginning of the interior angle of geometric! Decreases decreasing the sequence and High School MATHEMATICS Written by Ron Larson and Laurie Boswell { 2 {... X ) = 16 b. + 2n + 2n + 35 ) = \ ( {! Compare these values to those in your table in part ( b ). ). ) ). Loan 1 is a 15-year loan with an annual interest rate of 3 % starting from the inside lane 17.., third place receives $ 200, second place receives $ 150, and no ring be! At an annual interest rate of 4 % = 20, an named... Concept boxes and examples x 4 = 3 for an = an-1 + big ideas math algebra 2 answer key answer: Before homework! Pearson, McGraw Hill, big Ideas Learning, CPM, and so on = 4 1 3... A. a. an = n/2 answer: an = 180 ( n + 4 so, is! = 688 Justify your answers 6.5, 5, 5, 5 5... = 12 = 507 answer: Question 12 and using Sequences and series easily and quickly monthly payment when.

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