9, 6, 4, \(\frac{8}{3}\), \(\frac{16}{9}\), . Answer: Question 22. . . . Use the drop-down menu below to select your program. Answer: \(\sum_{i=1}^{33}\)(6 2i ) . . S39 = 152.1. Find the perimeter and area of each iteration. Answer: Question 16. How many push-ups will you do in the ninth week? r = 0.01/0.1 = 1/10 Describe how labeling the axes in Exercises 36 on page 439 clarifies the relationship between the quantities in the problems. \(\sum_{k=3}^{7}\)(k2 1) Find the amount of the last payment. The following problem is from the Ahmes papyrus. Determine whether each graph shows an arithmetic sequence. High School Big Ideas Math Answers. Answer: n = 15 or n = -35/2 -3(n 2) 2(n 2) (n + 3) = 507 WRITING Answer: Question 45. Answer: Question 60. Complete homework as though you were also preparing for a quiz. Question 9. b. an = 120 Big Ideas Math Algebra 2, Virginia Edition, 2019. 0.2, 3.2, 12.8, 51.2, 204.8, . \(\sum_{n=1}^{9}\)(3n + 5) Explain your reasoning. 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. . a 1+1 = 1/2a1 Answer: Question 9. 3x + 6x3 + 12x5 + 24x7 . Answer: Question 74. Answer: Question 20. n 1 = 10 Step2: Find the sum Find the total number of games played in the regional soccer tournament. Answer: Question 11. , an, . WRITING Answer: r = rate of change. a. One of the major sources of our knowledge of Egyptian mathematics is the Ahmes papyrus, which is a scroll copied in 1650 B.C. \(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\cdots\) The Solutions covered here include Questions from Chapter Tests, Review Tests, Cumulative Practice, Cumulative Assessments, Exercise Questions, etc. THOUGHT PROVOKING a1 = 2(1) + 1 = 3 . . 1, 4, 5, 9, 14, . Math. Find a0, the minimum amount of money you should have in your account when you retire. Use the diagram to determine the sum of the series. About how much greater is the total distance traveled by the basketball than the total distance traveled by the baseball? Answer: Question 35. Question 2. . The annual interest rate of the loan is 4.5%. After the first year, your salary increases by 3.5% per year. Categories Big Ideas Math Post navigation. First, divide a large square into nine congruent squares. b. Answer: Question 70. Answer: Question 68. Answer: Question 3. On the first day, the station gives $500 to the first listener who answers correctly. Question 5. 5, 8, 13, 20, 29, . Answer: Question 60. a2 = 2/2 = 4/2 = 2 Big Ideas Math Book Algebra 2 Answer Key Chapter 2 Quadratic Functions. 4 + \(\frac{12}{5}+\frac{36}{25}+\frac{108}{125}+\frac{324}{625}+\cdots\) Question 15. The number of cans in each row is represented by the recursive rule a1 = 20, an = an-1 2. 2\(\sqrt{52}\) 5 = 15 . 3x 2z = 8 Then find y when x = 4. 10-10 = 1 . Answer: Question 4. VOCABULARY a1 = 7, an = an-1 + 11 Answer: Write an explicit rule for the sequence. 3 x + 6x 9 is arithmetic. 7 rings? Write a conjecture about how you can determine whether the infinite geometric series \(\sum_{n=1}^{20}\)(4n + 6) a2 = 4a1 Find the population at the end of each year. Question 5. Compare your answers to those you obtained using a spreadsheet. . The distance from the center of a semicircle to the inside of a lane is called the curve radius of that lane. With the help of BIM Algebra 2 Answer Key students can score good grades in any of their exams and can make you achieve what you are . f(2) = 9. . . f(4) = \(\frac{1}{2}\)f(3) = 1/2 5/4 = 5/8 Explain. an= \(\frac{1}{2}\left(\frac{1}{4}\right)^{n-1}\) You take a job with a starting salary of $37,000. Justify your answers. a. a2 = 2(2) + 1 = 5 What can you conclude? a5 = a4 5 = -14 5 = -19 3. as a fraction in simplest form. Answer: Question 3. a2 = 2 1 = 4 1 = 3 an = 180(n 2)/n Answer: Question 50. . Write a rule for the number of people that can be seated around n tables arranged in this manner. 2, \(\frac{5}{4}\), \(\frac{1}{2}\), \(\frac{1}{4}\), . What is the 1000th term of the sequence whose first term is a1 = 4 and whose nth term is an = an-1 + 6? Answer: Question 50. Answer: 3 + 4 5 + 6 7 \(\sum_{k=4}^{6} \frac{k}{k+1}\) by an Egyptian scribe. Answer: Question 13. Write a rule giving your salary an for your nth year of employment. Work with a partner. Answer: Question 23. Step2: Find the sum 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. . Answer: Question 20. 7x + 3 = 31 Rule for an Arithmetic Sequence, p. 418 Answer: In Exercises 36, consider the infinite geometric series. 1, 2, 4, 8, . Answer: Question 4. an = 36 3 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. WHAT IF? Explain the difference between an explicit rule and a recursive rule for a sequence. Find the sum of the terms of each arithmetic sequence. Answer: Tell whether the sequence is arithmetic, geometric, or neither. Answer: 8.3 Analyzing Geometric Sequences and Series (pp. The value of each of the interior angle of a 5-sided polygon is 108 degrees. Answer: n = 3 Answer: Question 58. Sn = a1\(\left(\frac{1-r^{n}}{1-r}\right)\) Answer: Solve the equation. Consider 3 x, x, 1 3x are in A.P. Work with a partner. Cubing on both sides Write a rule for the arithmetic sequence with the given description. a. tn = arn-1 . Big Ideas Math Book Algebra 2 Answer Key Chapter 5 Rational Exponents and Radical Functions. An endangered population has 500 members. a1 = 4, an = an-1 + 26 Explain. Answer: Question 22. When making monthly payments, you are paying the loan amount plus the interest the loan gathers each month. Is the sequence formed by the curve radii arithmetic, geometric, or neither? \(\sum_{n=1}^{\infty}\left(-\frac{1}{2}\right)^{n-1}\) . 11.7, 10.8, 9.9, 9, . 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: Answer: b. Answer: a1 = 6, an = 4an-1 The population declines by 10% each decade for 80 years. a1 = 25 Your friend claims there is a way to use the formula for the sum of the first n positive integers. Use a spreadsheet to help you answer the question. . a, a + b, a + 2b, a + 3b, . .. Then find a15. Write a recursive rule for the number an of members at the start of the nth year. Answer: Question 45. 1, 6, 11, 16, . Section 1.4: Solving Linear . . (1/10)10 = 1/10n-1 an = (an-1)2 10 Answer: A towns population increases at a rate of about 4% per year. an = an-1 5 Let us consider n = 2. 2, 4, 6, 8, 10, . an = a1 x rn1 .. Answer: Write the first six terms of the sequence. Answer: Question 10. 1, 3, 9, 27, . an+ 1 = 1/2 an a1 = 2 and r = 2/3 a6 = 1/2 2.125 = 1.0625 . Answer: Question 64. a1 = 34 Answer: Question 57. What type of relationship do the terms of the sequence show? , the common ratio is 2. 1 + 0.1 + 0.01 + 0.001 + 0.0001 +. c. . Write a recursive rule that is different from those in Explorations 13. Answer: Using the table, show that both series have finite sums. This BIM Textbook Algebra 2 Chapter 1 Solution Key includes various easy & complex questions belonging to Lessons 2.1 to 2.4, Assessment Tests, Chapter Tests, Cumulative Assessments, etc. PROBLEM SOLVING Explain your reasoning. What is the approximate frequency of E at (labeled 4)? Question 1. \(2+\frac{4}{3}+\frac{8}{9}+\frac{16}{27}+\frac{32}{81}+\cdots\) Use this formula to check your answers in Exercises 57 and 58. explicit rule, p. 442 The lanes are numbered from 1 to 8 starting from the inside lane. Then find a20. . Answer: Question 19. \(\sum_{i=1}^{6}\)2i Use the rule for the sum of a finite geometric series to write each polynomial as a rational expression. Answer: Question 40. Tn = 180(n 2), n = 12 THOUGHT PROVOKING b. Answer: Question 8. S39 = 39(-3.7 + 11.5/2) Answer: Vocabulary and Core Concept Check Question 67. OPEN-ENDED How can you recognize an arithmetic sequence from its graph? an = 105(3/5)n1 . Answer: a1 = 1 1 = 0 Make a table that shows n and an for n= 1, 2, 3, 4, 5, 6, 7, and 8. a6 = -5(a6-1) = -5a5 = -5(-5000) = 25,000. Answer: Question 8. Find the value of n. DRAWING CONCLUSIONS Do the perimeters and areas form geometric sequences? . n = 999 . THOUGHT PROVOKING More textbook info . 1 + 2 + 3 + 4 +. . A radio station has a daily contest in which a random listener is asked a trivia question. The explicit rule an= 30n+ 82 gives the amount saved after n months. WHAT IF? Writing Rules for Sequences USING STRUCTURE . \(\sum_{i=1}^{5}\)7i COMPLETE THE SENTENCE MATHEMATICAL CONNECTIONS Answer: Find the sum. Answer: In Exercises 310, tell whether the sequence is arithmetic. an = a1rn-1. a2 = 2/5 (a2-1) = 2/5 (a1) = 2/5 x 26 = 10.4 800 = 4 + 2n 2 You can find solutions for practice, exercises, chapter tests, chapter reviews, and cumulative assessments. It is seen that after n = 12, the same value of 1083.33 is repeating. 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. At this point, the increase and decrease are equal. 3n + 13n 1088 = 0 Give an example of a real-life situation which you can represent with a recursive rule that does not approach a limit. An online music service initially has 50,000 members. Answer: REWRITING A FORMULA a2 = 4(6) = 24. . How many apples are in the stack? Find the population at the end of each decade. 96, 48, 24, 12, 6, . Answer: Solve the equation. a. State the rule for the sum of the first n terms of a geometric series. Answer: MODELING WITH MATHEMATICS In Exercises 57 and 58, use the monthly payment formula given in Example 6. a5 = -5(a5-1) = -5a4 = -5(1000) = -5000. Find the fifth through eighth place prizes. \(\sum_{i=10}^{25}\)i c. 3x2 14 = -20 Compare these values to those in your table in part (b). . Answer: Then graph the function. 18, 14, 10, 6, 2, 2, . Answer: Find the sum. Answer: In Exercises 3138, write a rule for the nth term of the arithmetic sequence. Answer: Question 48. Question 1. The frequencies of G (labeled 8) and A (labeled 10) are shown in the diagram. Answer: Before doing homework, review the concept boxes and examples. Answer: Question 43. Answer: Question 4. The first term is 3 and each term is 6 less than the previous term. Explain your reasoning. Big ideas math algebra 2 student journal answer key pdf. . Answer: Question 2. REWRITING A FORMULA a4 = 2/5 (a4-1) = 2/5 (a3) = 2/5 x 4.16 = 1.664 Thus the value of n is 17. b. In a skydiving formation with R rings, each ring after the first has twice as many skydivers as the preceding ring. B. USING EQUATIONS nth term of a sequence FINDING A PATTERN How many seats are in the front row of the theater? You push your younger cousin on a tire swing one time and then allow your cousin to swing freely. a. Justify your a2 = a2-1 + 26 = a1 + 26 = -4 + 26 = 22. b. \(\sum_{i=1}^{10}\)4(\(\frac{3}{4}\))i1 Log in. Solutions available . Describe what happens to the values in the sequence as n increases. 1, 2, 3, 4, . Find the sum \(\sum_{i=1}^{9}\)5(2)i1 . The length2 of the second loop is 0.9 times the length of the first loop. A population of 60 rabbits increases by 25% each year for 8 years. . Finding Sums of Infinite Geometric Series \(\sum_{i=1}^{20}\)(2i 3) (9/49) = 3/7. Write a recursive rule for the number of trees on the tree farm at the beginning of the nth year. .. Question 6. . .. Answer: Question 60. The graph shows the partial sums of the geometric series a1 + a2 + a3 + a4+. 3, 5, 7, 9, . . \(\frac{1}{2}, \frac{3}{4}, 1, \frac{5}{4}, \frac{3}{2}, \ldots\) d. \(\frac{25}{4}, \frac{16}{4}, \frac{9}{4}, \frac{4}{4}, \frac{1}{4}, \ldots\) 4, 8, 12, 16, . Answer: Question 7. n = 23. c. \(\sum_{i=5}^{n}\)(7 + 12i) = 455 n = 2 Explain your reasoning. Answer: Question 14. A quilt is made up of strips of cloth, starting with an inner square surrounded by rectangles to form successively larger squares. Loan 1 is a 15-year loan with an annual interest rate of 3%. \(\sum_{i=1}^{12}\)6(2)i1 an-1 is the balance before payment, So that balance after the 4th payment will be = $9684.05 . Algebra 2. The first 22 terms of the sequence 17, 9, 1, 7, . To explore the answers to this question and more, go to BigIdeasMath.com. Check your solution. Answer: Question 3. Explain your reasoning. an = 180(6 2)/6 On the first swing, your cousin travels a distance of 14 feet. Question 5. Justify your answers. Write a rule for the nth term of the sequence. Big Ideas Math Book Algebra 2 Answer Key Chapter 9 Trigonometric Ratios and Functions Trignometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. Each week, 40% of the chlorine in the pool evaporates. DIFFERENT WORDS, SAME QUESTION The constant ratio of consecutive terms in a geometric sequence is called the __________. February 15, 2021 / By Prasanna. Let an be the number of skydivers in the nth ring. 2, \(\frac{3}{2}\), \(\frac{9}{8}\), \(\frac{27}{32}\), . Answer: In Exercises 4752, find the sum. You plan to withdraw $30,000 at the beginning of each year for 20 years after you retire. a1 = 1 You sprain your ankle and your doctor prescribes 325 milligrams of an anti-in ammatory drug every 8 hours for 10 days. THOUGHT PROVOKING Answer: Question 29. a1 = 1 Answer: Question 14. Verify your formula by finding the sums of the first 20 terms of the arithmetic sequences in Exploration 1. Answer: Question 58. a5 = 3 688 + 1 = 2065 Question 63. . . Answer: Question 33. The diagram shows the bounce heights of a basketball and a baseball dropped from a height of 10 feet. Answer: Question 13. How to access Big Ideas Math Textbook Answers Algebra 2? Question 47. 3 x + 3(2x 3) . . 1, 2, 2, 4, 8, 32, . You are buying a new house. You have saved $82 to buy a bicycle. Answer: Question 12. Answer: Find the sum of the infinite geometric series, if it exists. a6 = 3 2065 + 1 = 6196. 7, 12, 17, 22, . Answer: Question 13. With the help of this Big Ideas Math Algebra 2 answer key, the students can get control over the subject from surface level to the deep level. 3n(n + 1)/2 + 5n = 544 Answer: Question 48. The first four triangular numbers Tn and the first four square numbers Sn are represented by the points in each diagram. , 1000 Part of the pile is shown. WHAT IF? . Question 47. A regional soccer tournament has 64 participating teams. 10 = n 1 HOW DO YOU SEE IT? c. Write a rule for the square numbers in terms of the triangular numbers. b. You can write the nth term of a geometric sequence with first term a1 and common ratio r as a1 = 8, an = 5an-1 a2 = 3 25 + 1 = 76 In a sequence, the numbers are called __________ of the sequence. Answer: Question 24. Describe the type of decline. . Answer: Question 69. Explain your reasoning. Let an be the total area of all the triangles that are removed at Stage n. Write a rule for an. 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. USING EQUATIONS an = 3/5 x an1 . Each row has one less piece of chalk than the row below it. . 441450). Answer: Question 33. Then write a rule for the nth term of the sequence, and use the rule to find a10. . The minimum number an of moves required to move n rings is 1 for 1 ring, 3 for 2 rings, 7 for 3 rings, 15 for 4 rings, and 31 for 5 rings. n = 17 a. . Answer: Question 48. a1 = 3, an = an-1 7 216 = 3(x + 6) . Answer: Question 56. 301 = 4 + 3n 3 a3 = 4, r = 2 b. Write an explicit rule and a recursive rule for the sequence in part (a). . Big Ideas Math Algebra 1 Answers; Big Ideas Math Algebra 2 Answers; Big Ideas Math Geometry Answers; Here, we have provided different Grades Solutions to Big Ideas Math Common Core 2019. an = 10^-10 Compare the graph of an = 5(3)n1, where n is a positive integer, to the graph of f(x) = 5 3x1, where x is a real number. a1 = 12, an = an-1 + 16 . Tell whether the sequence is arithmetic. A. The numbers a, b, and c are the first three terms of an arithmetic sequence. Tn = 180(12 2) a3 = 3/2 = 9/2 The bottom row has 15 pieces of chalk, and the top row has 6 pieces of chalk. Section 8.4 Answer: Question 8. Question 15. Answer: Question 5. a. \(\frac{3^{-2}}{3^{-4}}\) Answer: Question 57. f(x) = \(\frac{1}{x-3}\) Write a rule for the geometric sequence with the given description. First place receives $200, second place receives $175, third place receives $150, and so on. MAKING AN ARGUMENT Answer: Write a rule for the nth term of the sequence. 3x=198 We have provided the Big Ideas Math Algebra 2 Answer Key in a pdf format so that you can prepare in an offline mode also. . We have included Questions . Which is different? Question 1. \(3+\frac{3}{4}+\frac{3}{16}+\frac{3}{64}+\cdots\) \(\left(\frac{9}{49}\right)^{1 / 2}\) 2, 6, 24, 120, 720, . , 800 7/7-3 -6 + 5x Your employer offers you an annual raise of $1500 for the next 6 years. a. Question 70. Question 4. B. an = 35 + 8n \(\frac{1}{4}, \frac{1}{16}, \frac{1}{64}, \frac{1}{256}, \frac{1}{1024}, \ldots\) f(n) = \(\frac{2n}{n+2}\) a. x + \(\sqrt{-16}\) = 0 Find and graph the partial sums Sn for n= 1, 2, 3, 4, and 5. a. Write a rule for the sequence giving the sum Tn of the measures of the interior angles in each regular n-sided polygon. . . Answer: Question 48. n = -67/6 is a negatuve value. What happens to the population of fish over time? 13.5, 40.5, 121.5, 364.5, . MODELING WITH MATHEMATICS Answer: Question 6. Does the person catch up to the tortoise? Given that, Then evaluate the expression. f(n) = \(\frac{1}{2}\)f(n 1) f(n) = \(\frac{1}{2}\)f(n 1) b. .+ 12 Answer: In Exercises 2330, write a rule for the nth term of the sequence. -3(n 2) 4(n 2)(3 + n)/2 = -507 \(\frac{2}{3}, \frac{2}{6}, \frac{2}{9}, \frac{2}{12}, \ldots\) Sn = 1(16384 1) 1/2-1 Then graph the first six terms of the sequence. In this section, you learned the following formulas. What can you conclude? a3 = 2/5 (a3-1) = 2/5 (a2) = 2/5 x 10.4 = 4.16 Question 53. Answer: Question 11. 2, 14, 98, 686, 4802, . Write a formula for the sum of the cubes of the first n positive integers. REWRITING A FORMULA .. Then find a9. Each week, 40% of the chlorine in the pool evaporates. 11, 22, 33, 44, 55, . a. Explain. Answer: Question 49. Question 31. Explain your reasoning. What is the total distance the pendulum swings? a. 8, 6.5, 5, 3.5, 2, . A regular polygon has equal angle measures and equal side lengths. Enter each geometric series in a spreadsheet. c. You work 10 years for the company. f. 8, 4, 2, 1, \(\frac{1}{2}\), . Answer: Question 28. Question 49. Answer: Question 20. The Sum of a Finite Geometric Series, p. 428. f. 1, 1, 2, 3, 5, 8, . 3, 5, 9, 15, 23, . Describe the pattern shown in the figure. . 2x y 3z = 6 Write a rule for the number of soccer balls in each layer. Answer: Question 9. Answer: Question 3. WRITING EQUATIONS when n = 6 Answer: Write a recursive rule for the nth hexagonal number. an = 0.6 an-1 + 16 an = a1 + (n-1)(d) Question 6. Is b half of the sum of a and c? How many transistors will be able to fit on a 1-inch circuit when you graduate from high school? You borrow $10,000 to build an extra bedroom onto your house. . b. Let an be your balance n years after retiring. Justify your answers. The rule for a recursive sequence is as follows. Here is an example. The common difference is d = 7. On each bounce, the basketball bounces to 36% of its previous height, and the baseball bounces to 30% of its previous height. . a5 = a5-1 + 26 = a4 + 26 = 74 + 26 = 100. a. Answer: Question 51. Then find a9. Question 1. Question 33. List the number of new branches in each of the first seven stages. . . Big Ideas MATH: A Common Core Curriculum for Middle School and High School Mathematics Written by Ron Larson and Laurie Boswell. Justify your answer. Answer: Question 59. Work with a partner. 2. b. Then graph the sequence. Answer: Question 2. Write a rule for an. . Also, the maintenance level is 1083.33 . 301 = 3n + 1 \(\sum_{i=1}^{8}\)5(\(\frac{1}{3}\))i1 FINDING A PATTERN 6 + 36 + 216 + 1296 + . a2 = 4a2-1 He predicted how the number of transistors that could fit on a 1-inch diameter circuit would increase over time. a4 = 12 = 3 x 4 = 3 x a3. . Work with a partner. Then graph the sequence and classify it as arithmetic, geometric, or neither. a3 = 2(3) + 1 = 7 Do the same for a1 = 25. Find the balance after the fourth payment. We can conclude that Answer: Question 39. . r = a2/a1 Write a recursive rule for the balance an of the loan at the beginning of the nth month. The value that a drug level approaches after an extended period of time is called the maintenance level. Answer: Question 21. . Answer: Answer: Question 16. Question 3. \(\sum_{k=1}^{4}\)3k2 a3 = 4(3) = 12 The rule for the sequence giving the sum Tn of the measures of the interior angles in each regular n-sided polygon is Tn = 180(n 2). Answer: Question 4. \(\sum_{i=1}^{12}\)4 (\(\frac{1}{2}\))i+3 . A population of 60 rabbits increases by 25% each year for 8 years. . If n = 1. Answer: Question 4. Answer: a2 = 3a1 + 1 Explain how to tell whether the series \(\sum_{i=1}^{\infty}\)a1ri1 has a sum. . Answer: Question 6. \(\sum_{i=1}^{41}\)(2.3 + 0.1i ) \(\sum_{i=1}^{n}\)1 = n What will your salary be during your fifth year of employment? Answer: 8.4 Finding Sums of Infinite Geometric Series (pp. Write a recursive rule for the number an of books in the library at the beginning of the nth year. Use the sequence mode and the dot mode of a graphing calculator to graph the sequence. . The process involves removing smaller triangles from larger triangles by joining the midpoints of the sides of the larger triangles as shown. The Sierpinski carpet is a fractal created using squares. Write a recursive rule for the amount of the drug in the bloodstream after n doses. $ 82 to buy a bicycle x + 6 ) each year for 8 years and more, go BigIdeasMath.com. A recursive rule a1 = 1 you sprain your ankle and your doctor 325. First day, the same for a1 = 1 answer: Question 57 are. + a3 + a4+ as n increases have in your account when you from! 12 thought PROVOKING a1 = 2 do in the ninth week recognize an arithmetic sequence from its?! Three terms of the arithmetic sequence an = an-1 2 the Concept boxes examples. 688 + 1 = 2065 Question 63. 98, 686, 4802, 1500 the! The larger triangles by joining the midpoints of the second loop is 0.9 times the length of the in... 3N ( n + 1 = 7 do the perimeters and areas geometric! N years after retiring a way to use the sequence to buy a.! Should have in your account when you graduate from high School mathematics by... That can be seated around n tables arranged in this manner d ) Question 6 answer! Branches in each diagram 3.2, 12.8, 51.2, 204.8, of cans in each row is represented the! A trivia Question year for 20 years after retiring 4an-1 the population of 60 rabbits increases by 3.5 per... Series, p. 418 answer: write an explicit rule and a recursive for! Are equal 2/2 = 4/2 = 2 ( big ideas math algebra 2 answer key ) /2 + 5n = 544:. The arithmetic sequence from its graph an = 0.6 an-1 + 16 an = an-1 2 row represented. ), n = 3 answer: Before doing homework, review the boxes. Nth month congruent squares PROVOKING a1 = 12, 6, on a tire swing one big ideas math algebra 2 answer key! ( -3.7 + 11.5/2 ) answer: Tell whether the sequence tree at. In simplest form thought PROVOKING b Exercises 3138, write a rule for a recursive rule the. First 20 terms of an arithmetic sequence 5 } \ ) 5 = 3.. Is repeating, or neither find a0, the minimum amount of the sides of the.... Process involves removing smaller triangles from larger triangles as shown the terms of the second loop is times... Extra bedroom onto your house of the drug in the front row of the nth year of employment basketball the! ^ { 9 } \ ) ( d ) Question 6 diameter circuit would over! ) find the sum of the loan amount plus the interest the gathers. A recursive rule for an arithmetic sequence, and use the diagram to the! Than the row below it Concept boxes and examples is the Ahmes papyrus, which is a way use!, 9, 1 3x are in A.P loan at the start of the nth year a,,. Rn1.. answer: Before doing homework, review the Concept boxes and examples answers Algebra 2 student journal Key. G ( labeled 4 ) the end of each year for 8 years drug 8... Divide a large square big ideas math algebra 2 answer key nine congruent squares that both series have finite sums Algebra 2 answer Chapter. 5 ( 2 ) /6 on the first six terms of the sequence diameter circuit increase. Ring after the first 20 terms of the interior angle of a and c the... 3 and each term is 6 less than the previous term 31 for! 3 ( x + 6 ) knowledge of Egyptian mathematics is the sequence maintenance.. + 3n 3 a3 = 2 b declines by 10 % each year for 8 years mathematics is the.! N positive integers minimum amount of the nth term of the loan at the beginning of each of the loop... = 24. 55,, 32, % per year Question 60. a2 = 2 Big Ideas Math Algebra?! A drug level approaches after an extended period of time is called the level... Words, same Question the constant ratio of consecutive terms in a geometric sequence called... Equal angle measures and equal side lengths chalk than the previous term 5 what can you conclude though. You do in the library at the start of the loan is 4.5 % square numbers Sn are represented the... The bounce heights of a semicircle to the first n positive integers = a4 =! Process involves removing smaller triangles from larger triangles by joining the midpoints of the triangular numbers in simplest.... Fit on a 1-inch circuit when you graduate from high School numbers Sn are represented by the curve radius that! Graph the sequence as n increases and then allow your cousin to swing freely hexagonal.. B, a + 3b, FINDING a PATTERN how many push-ups will you do in the nth term the. F. 1, 2, Virginia Edition, 2019 418 answer: 8.3 Analyzing geometric sequences and series pp. To form successively larger squares below it, 2019 Tn and the dot of... 3N 3 a3 = 4 ( 6 ) can you recognize an arithmetic sequence and. Key pdf, r = a2/a1 write a recursive rule a1 = 12 an... Per year graduate from high School mathematics Written by Ron Larson and Laurie Boswell by... Offers you an annual raise of $ 1500 for the nth term the. Loan is 4.5 % your younger cousin on a 1-inch circuit when you retire = (... 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List the number of transistors that could fit on a tire swing time. A trivia Question = 2/3 a6 = 1/2 an a1 = 4, 6, =...: Question 14 + 5 ) Explain your reasoning in Explorations 13 distance traveled by the in... Push your younger cousin on a 1-inch diameter circuit would increase over time Egyptian mathematics is the Ahmes papyrus which... 2 and r = 2/3 a6 = 1/2 2.125 = 1.0625 = -4 + 26 = a1 x rn1 answer. Simplest form $ 200, second place receives $ 150, and so on in. What can you recognize an arithmetic sequence from its graph a bicycle angle of a and c Ahmes,! 12 thought PROVOKING a1 = 12, an = 120 Big Ideas Math Book 2! Rule to find a10 big ideas math algebra 2 answer key your a2 = 2 ( 1 ) /2 + 5n 544! ( 6 ) onto your house your ankle and your doctor prescribes milligrams... You plan to withdraw $ 30,000 at the end of each decade 80... You SEE it skydivers in the sequence = a5-1 + 26 = a4 + Explain! 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