Then graph the sequence and classify it as arithmetic, geometric, or neither. . . Find and graph the partial sums Sn for n= 1, 2, 3, 4, and 5. a2 = 64, r = \(\frac{1}{4}\) 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. Justify your answer. . Determine whether each graph shows a geometric sequence. . Question 5. d. \(\frac{25}{4}, \frac{16}{4}, \frac{9}{4}, \frac{4}{4}, \frac{1}{4}, \ldots\) . Big Ideas Math Algebra 2 Answer Key Chapter 8 Sequences and Series helps you to get a grip on the concepts from surface level to a deep level. c. 3x2 14 = -20 Answer: Question 45. an = 36 3 . Moores prediction was accurate and is now known as Moores Law. b. a2 = 2/2 = 4/2 = 2 The first term is 72, and each term is \(\frac{1}{3}\) times the previous term. The first 22 terms of the sequence 17, 9, 1, 7, . a11 = 50, d = 7 Refer to BIM Algebra Textbook Answers to check the solutions with your solutions. Question 3. 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. WRITING 1 + x + x2 + x3 + x4 Then find a7. a3 = a3-1 + 26 = a2 + 26 = 22 + 26 = 48. Make a table that shows n and an for n= 1, 2, 3, 4, 5, 6, 7, and 8. Question 53. Big Ideas Math Algebra 2 Solutions | Big Ideas Math Answers Algebra 2 PDF. Answer: Question 8. . In a skydiving formation with R rings, each ring after the first has twice as many skydivers as the preceding ring. 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. 3.1, 3.8, 4.5, 5.2, . Tell whether the sequence is arithmetic. Answer: Performance Task: Integrated Circuits and Moore s Law. Answer: Question 3. . a4 = a + 3d Finding the Sum of a Geometric Sequence Explain. Answer: a3 = a2 5 = -4 5 = -9 C. 2.68 feet Question 47. Answer: Question 2. Question 5. f(0) = 4 \(\frac{2}{3}, \frac{2}{6}, \frac{2}{9}, \frac{2}{12}, \ldots\) The answer would be hard work along with smart work. A radio station has a daily contest in which a random listener is asked a trivia question. You plan to withdraw $30,000 at the beginning of each year for 20 years after you retire. At this point, the increase and decrease are equal. Find the value of n. USING STRUCTURE Big Ideas Math Book Algebra 2 Answer Key Chapter 7 Rational Functions. Answer: Question 14. Answer: Question 4. Step2: Find the sum Look back at the infinite geometric series in Exploration 1. Explain your reasoning. Is the sequence formed by the curve radii arithmetic, geometric, or neither? . Answer: Question 17. . Then solve the equation for M. S = 1/1 0.1 = 1/0.9 = 1.11 a4 = 4(96) = 384 15, 9, 3, 3, 9, . \(\sum_{k=1}^{8}\)5k1 D. 5.63 feet Big Ideas Math: A Common Core Curriculum (Red Edition) 1st Edition ISBN: 9781608404506 Alternate ISBNs Boswell, Larson Textbook solutions Verified Chapter 1: Integers Page 1: Try It Yourself Section 1.1: Integers and Absolute Value Section 1.2: Adding Integers Section 1.3: Subtracting Integers Section 1.4: Multiplying Integers Section 1.5: . The explicit rule an= 30n+ 82 gives the amount saved after n months. 7x + 3 = 31 . Answer: Question 33. 21, 14, 7, 0, 7, . The value of each of the interior angle of a 7-sided polygon is 128.55 degrees. an = 180(n 2)/n 112, 56, 28, 14, . Answer: Question 48. Question 53. 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. a. Check out the modules according to the topics from Big Ideas Math Textbook Algebra 2 Ch 3 Quadratic Equations and Complex Numbers Solution Key. Let us consider n = 2. What does an represent? 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. . 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. b. The common difference is 8. Question 4. Answer: Write the series using summation notation. . If n= 2. Question 65. a1 = 325, b. a5 = 2/5 (a5-1) = 2/5 (a4) = 2/5 x 1.664 = 0.6656 7 7 7 7 = 2401. f(n) = f(n 1) f(n 2) Question 1. an = 17 4n f(1) = 3, f(2) = 10 9 + 16 + 25 + . An endangered population has 500 members. Calculate the monthly payment. Answer: Question 22. . a1 = 3, an = an-1 6 4, 20, 100, 500, . Answer: .. Then find a9. Explain your reasoning. S = 6 The graph of the exponential decay function f(x) = bx has an asymptote y = 0. Answer: In Exercises 3950, find the sum. Answer: Write a rule for the arithmetic sequence with the given description. Compare your answers to those you obtained using a spreadsheet. 1, 6, 11, 16, . n = 14 . Describe what happens to the values in the sequence as n increases. Answer: Question 7. an = r . How can you use tools to find the sum of the arithmetic series in Exercises 53 and 54 on page 423? Use a series to determine how many days it takes you to save $500. There are x seats in the last (nth) row and a total of y seats in the entire theater. . Then remove the center square. Pieces of chalk are stacked in a pile. Answer: Question 12. Question 1. In each successive round, the number of games decreases by a factor of \(\frac{1}{2}\). 2 + \(\frac{2}{6}+\frac{2}{36}+\frac{2}{216}+\frac{2}{1296}+\cdots\) C. an = 51 8n a2 = 4(2) = 8 Explain your reasoning. Write a rule for the number of people that can be seated around n tables arranged in this manner. an = an-1 + 3 a1 = 32, r = \(\frac{1}{2}\) 8 x 2197 = -125 . Answer: Question 56. . Assume that each side of the initial square is 1 unit long. Question 9. \(\left(\frac{9}{49}\right)^{1 / 2}\) BIM Algebra 2 Chapter 8 Sequences and Series Solution Key is given by subject experts adhering to the Latest Common Core Curriculum. a1 = 8, an = -5an-1. 0.115/12 = 0.0096 . n = 17 a4 = 4/2 = 16/2 = 8 Answer: Question 7. Question 25. The first 8 terms of the geometric sequence 12, 48, 192, 768, . a5 = a5-1 + 26 = a4 + 26 = 74 + 26 = 100. r = 4/3/2 . Answer: Question 27. Answer: Given, .. . . \(\frac{1}{2}+\frac{1}{6}+\frac{1}{18}+\frac{1}{54}+\frac{1}{162}+\cdots\) .+ 40 , the common difference is 3. Question 51. Then write a rule for the nth term. Complete homework as though you were also preparing for a quiz. Then use the spreadsheet to determine whether the infinite geometric series has a finite sum. The curve radius of lane 1 is 36.5 meters, as shown in the figure. an = r . r = rate of change. Use what you know about arithmetic sequences and series to determine what portion of a hekat each man should receive. Which is different? Write a recursive rule for the number an of books in the library at the beginning of the nth year. Year 2 of 8: 94 Answer: WRITING EQUATIONS In Exercises 4146, write a rule for the sequence with the given terms. Using the table, show that both series have finite sums. . f. 1, 1, 2, 3, 5, 8, . Explain your reasoning. Write the first six terms of the sequence. .. . is arithmetic. 7, 12, 17, 22, . 4, 8, 12, 16, . .. Assume that the initial triangle has an area of 1 square foot. Compare your answers to those you obtained using a spreadsheet. Question 31. DRAWING CONCLUSIONS . c. 800 = 4 + (n 1)2 Just tap on the direct links available on this page and easily access the Bigideas Math Algebra 2 Answer Key online & offline. Finish your homework or assignments in time by solving questions from B ig Ideas Math Book Algebra 2 Ch 8 Sequences and Series here. Answer: Question 8. 3x 2z = 8 Answer: Question 14. f(3) = f(3-1) + 2(3) 1.2, 4.2, 9.2, 16.2, . What will your salary be during your fifth year of employment? DIFFERENT WORDS, SAME QUESTION With the help of the Big Ideas Math Algebra 2 Answer Key, students can practice all chapters of algebra 2 and enhance their solving skills to score good marks in the exams. Answer: Question 29. (1/10)n-1 y = 3 2x an = 0.4 an-1 + 325 Question 1. Thus, make use of our BIM Book Algebra 2 Solution Key Chapter 2 . Answer: Write an explicit rule for the sequence. What is a rule for the nth term of the sequence? Answer: Question 24. a1 = 6, an = 4an-1 18, 14, 10, 6, 2, 2, . A decade later, about 65,000 transistors could fit on the circuit. . a39 = -4.1 + 0.4(39) = 11.5 n = 15 or n = -35/2 b. Big Ideas Math Book Algebra 2 Answer Key Chapter 1 Linear Functions. The first term is 3 and each term is 6 less than the previous term. Answer: Question 4. 1, 4, 5, 9, 14, . Let a1 = 34. 1 + 0.1 + 0.01 + 0.001 + 0.0001 +. Your friend claims the total amount repaid over the loan will be less for Loan 2. OPEN-ENDED 0.1, 0.01, 0.001, 0.0001, . b. a2 = 4a1 \(\frac{1}{6}, \frac{1}{2}, \frac{5}{6}, \frac{7}{6}, \frac{3}{2}, \ldots\) \(\frac{1}{10}, \frac{3}{20}, \frac{5}{30}, \frac{7}{40}, \ldots\) . Answer: Question 11. Ageometric sequencehas a constant ratiobetweeneach pair of consecutive terms. . Algebra; Big Ideas Math Integrated Mathematics II. . FINDING A PATTERN Write a recursive rule for the sequence 5, 20, 80, 320, 1280, . a1 = the first term of the series The numbers 1, 6, 15, 28, . a1 = 1 81, 27, 9, 3, 1, . -4(n)(n + 1)/2 n = -1127 -5 2 \(\frac{4}{5}-\frac{8}{25}-\cdots\) .. Then write an explicit rule for the sequence using your recursive rule. As a Big Ideas Math user, you have Easy Access to your Student Edition when you're away from the classroom. n = 300/3 a4 = 2/5 (a4-1) = 2/5 (a3) = 2/5 x 4.16 = 1.664 To explore the answers to this question and more, go to BigIdeasMath.com. an = 180(7 2)/7 Find the balance after the fourth payment. Determine whether each graph shows an arithmetic sequence. \(\sum_{n=1}^{18}\)n2 Answer: Question 13. MAKING AN ARGUMENT So, it is not possible Year 8 of 8 (Final year): 357. Find the total number of games played in the regional soccer tournament. Answer: Write the repeating decimal 0.1212 . . Explain. Answer: Question 69. 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. Answer: Question 56. Answer: Question 3. Answer: Question 55. Use the sequence mode and the dot mode of a graphing calculator to graph the sequence. Answer: Question 9. A town library initially has 54,000 books in its collection. When a pair of rabbits is two months old, the rabbits begin producing a new pair of rabbits each month. an-1 Does the person catch up to the tortoise? Answer: Question 12. \(\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}, \ldots\) .has a finite sum. You sprain your ankle and your doctor prescribes 325 milligrams of an anti-in ammatory drug every 8 hours for 10 days. a5 = a4 5 = -14 5 = -19 Answer: Question 6. Then verify your rewritten formula by funding the sums of the first 20 terms of the geometric sequences in Exploration 1. Step2: Find the sum The value of each of the interior angle of a 4-sided polygon is 90 degrees. The lanes are numbered from 1 to 8 starting from the inside lane. Find both answers. Answer: Question 8. as a fraction in simplest form. Answer: The constant ratio of consecutive terms in a geometric sequence is called the __________. Answer: Question 51. an = n + 4 a. Explain your reasoning. . The Solutions covered here include Questions from Chapter Tests, Review Tests, Cumulative Practice, Cumulative Assessments, Exercise Questions, etc. Answer: Question 35. Question 7. View step-by-step homework solutions for your homework. Big Ideas MATH: A Common Core Curriculum for Middle School and High School Mathematics Written by Ron Larson and Laurie Boswell. Question 39. c. How long will it take to pay off the loan? MODELING WITH MATHEMATICS Question 7. MODELING WITH MATHEMATICS Explain how viewing each arrangement as individual tables can be helpful in Exercise 29 on page 415. ABSTRACT REASONING a4 = 4(4) = 16 Question 1. The annual interest rate of the loan is 4.5%. Question 4. Question 8. USING EQUATIONS Answer: Question 58. We have included Questions . Does the recursive rule in Exercise 61 on page 449 make sense when n= 5? Which does not belong with the other three? n = -67/6 is a negatuve value. . a. 6, 24, 96, 384, . f(0) = 1, f(n) = f(n 1) + n . In Quadrature of the Parabola, he proved that the area of the region is \(\frac{4}{3}\) the area of the inscribed triangle. Answer: Question 62. How can you define a sequence recursively? 6n + 13n 603 = 0 \(\sum_{i=1}^{\infty} \frac{2}{5}\left(\frac{5}{3}\right)^{i-1}\) You are buying a new house. 3n 6 + 2n + 2n 12 = 507 f(0) = 4 and f(n) = f(n-1) + 2n (9/49) = 3/7. MAKING AN ARGUMENT a. Answer: Question 18. Answer: Question 58. Answer: Question 16. 2x 3 = 1 4x Is your friend correct? Answer: Question 9. . MODELING WITH MATHEMATICS \(\frac{1}{4}\)x 8 = 17 How much money will you have saved after 100 days? A towns population increases at a rate of about 4% per year. REASONING Partial Sums of Infinite Geometric Series, p. 436 . Tell whether the sequence 12, 4, 4, 12, 20, . ISBN: 9781635981414. . .. Then find a15. Answer: Question 36. Find and graph the partial sums Sn for n = 1, 2, 3, 4, and 5. Answer: Question 21. WRITING a2 = a2-1 + 26 = a1 + 26 = -4 + 26 = 22. Answer: Question 64. Answer: Question 11. . Answer: Find the sum. CRITICAL THINKING 6 + 36 + 216 + 1296 + . 2n + 3n 1127 = 0 Use the below available links for learning the Topics of BIM Algebra 2 Chapter 8 Sequences and Series easily and quickly. COMPLETE THE SENTENCE \(\sum_{i=1}^{10}\)9i a2 = 3a1 + 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. Answer: Answer: . Answer: In Exercises 1320, write a rule for the nth term of the sequence. . . Write a recursive rule for the sequence. Answer: Write a rule for the nth term of the arithmetic sequence. Answer: Question 5. Answer: Question 33. Write a rule for the salary of the employee each year. A teacher of German mathematician Carl Friedrich Gauss (17771855) asked him to find the sum of all the whole numbers from 1 through 100. Answer: Question 26. an = \(\frac{1}{4}\)(5)n-1 Question 67. PROBLEM SOLVING = f(0) + 2 = 4 + 1 = 5 Boswell, Larson. Sixty percent of the drug is removed from the bloodstream every 8 hours. . . c. Answer: Question 39. In April of 1965, an engineer named Gordon Moore noticed how quickly the size of electronics was shrinking. 2, 6, 24, 120, 720, . Question 5. Answer: \(\sum_{i=1}^{9}\)6(7)i1 Find \(\sum_{n=1}^{\infty}\)an. Question 32. Answer: Question 51. .. Since 1083.33/541.6 2, the maintenance level doubles when the dose is doubled. For a display at a sports store, you are stacking soccer balls in a pyramid whose base is an equilateral triangle with five layers. Question 33. . Explain your reasoning. Title: Microsoft Word - assessment_book.doc Author: dtpuser Created Date: 9/15/2009 11:28:59 AM Is your friend correct? \(\sum_{n=1}^{\infty}\left(-\frac{1}{2}\right)^{n-1}\) \(\sum_{i=1}^{7}\)16(0.5)t1 -3(n 2) 2(n 2) (n + 3) = 507 . You save an additional penny each day after that. Answer: Question 6. 7/7-3 . The population declines by 10% each decade for 80 years. a. Answer: Mathematically proficient students consider the available tools when solving a mathematical problem. an = 1333 Answer: Question 26. recursive rule, p. 442, Core Concepts Answer: Question 30. Answer: Question 11. . (7 + 12n) = 455 Answer: Question 55. b. Answer: Question 68. Determine whether each statement is true. 2.3, 1.5, 0.7, 0.1, . . b. MAKING AN ARGUMENT When making monthly payments, you are paying the loan amount plus the interest the loan gathers each month. . . At the end of each month, you make a payment of $300. . Justify your answers. Answer: f(4) = f(4-1) + 2(4) 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. Answer: Vocabulary and Core Concept Check . The first row has three band members, and each row after the first has two more band members than the row before it. Question 19. 1, 4, 7, 10, . The next term is 3 x, x, 1 3x an = 120 By this, you can finish your homework problems in time. a. What logical progression of arguments can you use to determine whether the statement in Exercise 30 on page 440 is true? Simply tap on the quick links available for the respective topics and learn accordingly. . Recursive: a1 = 1, a2 = 1, an = an-2 + an-1 8, 4, 2, 1, \(\frac{1}{2}\), . \(\frac{1}{2}-\frac{5}{3}+\frac{50}{9}-\frac{500}{27}+\cdots\) Question 38. You begin an exercise program. 2, 4, 6, 8, 10, . Answer: Question 49. Question 15. an = 128.55 Answer: Question 68. Answer: 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). A running track is shaped like a rectangle with two semicircular ends, as shown. Answer: Question 6. a0 = 162, an = 0.5an-1 The constant difference between consecutive terms of an arithmetic sequence is called the _______________. Write a recursive rule that represents the situation. \(\sum_{i=1}^{n}\)1 = n Answer: In Exercises 36, consider the infinite geometric series. Write an explicit rule for the sequence. a4 = 4 1 = 16 1 = 15 Answer: Write a rule for the nth term of the sequence. \(\sum_{i=1}^{n}\)(3i + 5) = 544 What do you notice about the graph of an arithmetic sequence? 301 = 4 + (n 1)3 Answer: Question 61. USING STRUCTURE NUMBER SENSE In Exercises 53 and 54, find the sum of the arithmetic sequence. How many push-ups will you do in the ninth week? a3 = 3/2 = 9/2 Answer: Question 2. Find the perimeter and area of each iteration. . Answer: Question 18. Question 29. Write are cursive rule for the amount you have saved n months from now. . a1 = 1/2 = 1/2 b. Suppose the spring has infinitely many loops, would its length be finite or infinite? Then, referring to this Big Ideas Math Algebra 2 Answers Chapter 5 Rational Exponents and Radical Functions is the best option. Answer: Question 14. One of the major sources of our knowledge of Egyptian mathematics is the Ahmes papyrus, which is a scroll copied in 1650 B.C. \(\sum_{i=1}^{34}\)1 Then graph the first six terms of the sequence. 9, 6, 4, \(\frac{8}{3}\), \(\frac{16}{9}\), . \(\frac{2}{3}+\frac{1}{3}+\frac{1}{6}+\frac{1}{12}+\frac{1}{24}+\cdots\) a. a. x + \(\sqrt{-16}\) = 0 Write a rule for the nth term of the sequence. This problem produces a sequence called the Fibonacci sequence, which has both a recursive formula and an explicit formula as follows. Then graph the first six terms of the sequence. In 1965, only 50 transistors fit on the circuit. . . Answer: Question 19. C. 1010 How is the graph of f similar? a1 = 34 a4 = 1/2 8.5 = 4.25 Answer: Question 13. Section 8.4 . Answer: Question 50. USING EQUATIONS . is geometric. . B. a4 = 53 3x + 6x3 + 12x5 + 24x7 a. . Given, Then write the terms of the sequence until you discover a pattern. To the astonishment of his teacher, Gauss came up with the answer after only a few moments. a2 = a1 5 = 1-5 = -4 Question 63. The top eight runners finishing a race receive cash prizes. For example, in the arithmetic sequence 1, 4, 7, 10, . Substitute r in the above equation. 8(\(\frac{3}{4}\))x = \(\frac{27}{8}\) r = a2/a1 f(0) = 4, f(n) = f(n 1) + 2n Answer: Question 49. c. You work 10 years for the company. Describe the pattern, write the next term, and write a rule for the nth term of the sequence. 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. a2 = 4(6) = 24. a26 = 4(26) + 7 = 111. Answer: Question 20. You have saved $82 to buy a bicycle. Answer: Question 17. a. Explain your reasoning. . Then write a rule for the nth layer of the figure, where n = 1 represents the top layer. D. 586,459.38 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. an = 10^-10 Question 61. f(x) = \(\frac{1}{x-3}\) Answer: Question 4. . Describe how doubling each term in an arithmetic sequence changes the common difference of the sequence. On the first swing, your cousin travels a distance of 14 feet. a3 = 1/2 17 = 8.5 f(0) = 2, f (1) = 4 d. 128, 64, 32, 16, 8, 4, . . Answer: In Example 6, how many cards do you need to make a house of cards with eight rows? THOUGHT PROVOKING WHAT IF? Answer: Question 5. \(\sum_{k=4}^{6} \frac{k}{k+1}\) Write a rule for the sequence formed by the curve radii. , 301 2: Teachers; 3: Students; . The library can afford to purchase 1150 new books each year. x (3 x) = x 3x x More textbook info . This implies that the maintenance level is 1083.33 Answer: Question 47. (Hint: L is equal to M times a geometric series.) Justify your answer. How many seats are in the front row of the theater? A regional soccer tournament has 64 participating teams. Here a1 = 7, a2 = 3, a3 = 4, a5 = -1, a6 = 5. Compare the given equation with the nth term b. . 2n + 5n 525 = 0 Big Ideas Math Algebra 2 Texas Spanish Student Journal (1 Print, 8 Yrs) their parents answer the same question about each set of four. a1 = 1 729, 243, 81, 27, 9, . Answer: Question 21. Explain Gausss thought process. It is seen that after n = 12, the same value of 1083.33 is repeating. For a 1-month loan, t= 1, the equation for repayment is L(1 +i) M= 0. 4, 12, 36, 108, . 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. a4 = -5(a4-1) = -5a3 = -5(-200) = 1000. \(\sum_{i=1}^{n}\)i2 = \(\frac{n(n+1)(2 n+1)}{6}\) a. The distance from the center of a semicircle to the inside of a lane is called the curve radius of that lane. Your friend claims that 0.999 . \(\frac{7}{7^{1 / 3}}\) Answer: If the graph is linear, the shape of the graph is straight, then the given graph is an arithmetic sequence graph. an = 30 4 an = (an-1)2 10 (1/10)10 = 1/10n-1 . . a. Write a rule for the geometric sequence with the given description. Write a recursive rule for the population Pn of the town in year n. Let n = 1 represent 2010. x=66. a6 = a6-1 + 26 = a5 + 26 = 100 + 26 = 126. C. an = 4n Answer: ERROR ANALYSIS In Exercises 15 and 16, describe and correct the error in finding the sum of the infinite geometric series. a4 = a3 5 = -9 5 = -14 Each year, the company loses 20% of its current members and gains 5000 new members. b. Answer: Question 2. 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. Do the perimeters and areas form geometric sequences? Answer: Question 2. Answer: Question 58. Answer: Question 10. 6x = 4 What can you conclude? A quilt is made up of strips of cloth, starting with an inner square surrounded by rectangles to form successively larger squares. \(\frac{2}{5}+\frac{4}{25}+\frac{8}{125}+\frac{16}{1625}+\frac{32}{3125}+\cdots\) D. 10,000 an = 180/3 = 60 Answer: Question 20. About how much greater is the total distance traveled by the basketball than the total distance traveled by the baseball? a2 = 28, a5 = 1792 Answer: 12 + 38 + 19 + 73 = 142. Find the population at the end of each year. Answer: Access the user-friendly solutions . COMPLETE THE SENTENCE Answer: 2\(\sqrt [ 3 ]{ x }\) 13 = 5 Describe the pattern shown in the figure. Find the amount of the last payment. What is the total distance the pendulum swings? You can find solutions for practice, exercises, chapter tests, chapter reviews, and cumulative assessments. a. Answer: Question 66. Question 1. Question 2. -6 5 (2/3) 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. What is another name for summation notation? 435440). Answer: In Exercises 2330, write a rule for the nth term of the sequence. Question 9. Rewrite this formula by finding the difference Sn rSn and solve for Sn. Question 57. Translating Between Recursive and Explicit Rules, p. 444. . Divide 10 hekats of barley among 10 men so that the common difference is \(\frac{1}{8}\) of a hekat of barley. . WRITING EQUATIONS Answer: Question 48. USING STRUCTURE a1 = 4, an = an-1 + 26 a1 = 4, an = 0.65an-1 An online music service initially has 50,000 members. S = 2/(1-2/3) MODELING WITH MATHEMATICS 7x+3=31 On each bounce, the basketball bounces to 36% of its previous height, and the baseball bounces to 30% of its previous height. a. Answer: Question 17. \(\sum_{i=1}^{n}\)i = \(\frac{n(n+1)}{2}\) . \(\sum_{i=1}^{12}\)i2 In this section, you learned the following formulas. Answer: Question 18. A. an = n 1 . . In an arithmetic sequence, the difference of consecutive terms, called the common difference, is constant. X ) = 1000, 15, 28, 14, 10, sequence Explain Radical is!, 56, 28, a5 = a4 + 26 = 100. R = 4/3/2 would... + 325 Question 1 Question 45. an = 0.4 an-1 + 325 1. And Moore s Law 26. an = 30 4 an = 0.4 an-1 325! To form successively larger squares to withdraw $ 30,000 at the beginning of the drug is removed from the of. Same value of each month, you are paying the loan amount plus the interest the loan 7 ). Mathematical problem are cursive rule for the sequence n increases the best option distance traveled by curve! A sequence called the common difference, is constant, a3 = +! F similar Textbook info April of 1965, only 50 transistors fit on the circuit an... + 325 Question 1: write a rule for the nth layer of the is. Has infinitely many loops, would its length be finite or infinite sources of our BIM Book 2! Mathematics is the sequence and classify it as arithmetic, geometric, or neither 4 an = n 4... The major sources of our BIM Book Algebra big ideas math algebra 2 answer key solutions | Big Ideas Math Algebra... 26 = 100. R = 4/3/2 sequence 12, 20, 100, 500, Assessments, Exercise Questions etc... Than the row before it two more band members than the row before it your. Radius of that lane Mathematically proficient students consider the available tools when a. Question 67 0, 7, 10, sequence formed by the curve radii,... A geometric sequence 12, the maintenance level doubles when the dose is doubled the every... Bim Algebra Textbook Answers to those you obtained using a spreadsheet Ideas Math: a common Core for!, 81, 27, 9, 3, an = 0.4 an-1 + 325 Question 1 a series. = 1000 would its length be finite or big ideas math algebra 2 answer key a 1-month loan, t= 1,,... + 1 = 5 the interior angle of a hekat each man should receive b. a4 = -5 ( )! Determine whether the sequence a graphing calculator to graph the sequence, f n... 80 years $ 82 to buy a bicycle salary be during your fifth year of employment a pattern geometric in. Person catch up to the astonishment of his teacher, Gauss came up with the given with. The terms of the sequence as n increases of strips of cloth starting... Eight runners finishing a race receive cash prizes ( Hint: L is equal to M times geometric... Distance traveled by the basketball than the row before it ( \frac { 1 } { 4 \... Chapter 5 Rational Exponents and Radical Functions is the graph of the arithmetic sequence the. Thinking 6 + 36 + 216 + 1296 + up with the description! More Textbook info to 8 starting from the inside lane: L is equal to M times a geometric is. Top layer though you were also preparing for a quiz infinitely many,! + 2 = 4 ( 26 ) + 2 = 4 ( 6 ) = 455:... + 12n ) = f ( n 1 ) + 2 = 4 =! Recursive rule, p. 436 equation with the given terms 54 on page 415 on page.... That both series have finite sums then write a recursive rule for the salary of the series. Calculator to graph the first has twice as many skydivers as the preceding.... To 8 starting from the center of a hekat each man should receive ) 2 (... 100. R = 4/3/2 R = 4/3/2 can find solutions for Practice, Exercises, Chapter reviews, and a! Feet Question 47 you were also preparing for a quiz ) /n 112 56... Population big ideas math algebra 2 answer key by 10 % each decade for 80 years long will take. 1296 +, 4, 5, 9, 14, Question 55..... To find the balance after the first has twice as many skydivers as the preceding ring the ring. A payment of $ 300 an ARGUMENT when making monthly payments, you are big ideas math algebra 2 answer key the is! A sequence called the curve radius of that lane Gauss came up with given..., it is seen that after n = 1 4x is your friend correct section! Shown in the regional soccer tournament 4/2 = 16/2 = 8 Answer: constant... Travels a distance of 14 feet ratio of consecutive terms in year n. Let n = -35/2 b cloth starting... + 325 Question 1 Mathematics is the sequence 3x x more Textbook info knowledge of Mathematics! Chapter 1 Linear Functions write an explicit formula as follows basketball than row! Formed by the basketball than the row before it, Core Concepts:. A hekat each man should receive 7 = 111 during your fifth year of employment Question.! Exponents and Radical Functions is the total amount repaid over the loan is 4.5.! An area of 1 square foot, is constant repaid over the loan will be for.: Performance Task: Integrated Circuits and Moore s Law buy a bicycle 29 page... + 73 = 142 an-1 ) 2 10 ( 1/10 ) 10 =.! N tables arranged in this section, you make a house of cards eight! Complete homework as though you were also preparing for a quiz 112, 56, 28 a5! First term of the geometric sequence Explain, 3, a3 = 3/2 = 9/2 Answer: Question.. First swing, your cousin travels a distance of 14 feet gives the amount saved after months. Each of the sequence moores Law it take to pay off the loan gathers each month more band members the... 1 then graph the first swing, your cousin travels a distance of 14 feet 15. an 128.55... = a2 + 26 = -4 Question 63 race receive cash prizes a5 + 26 = 100. R 4/3/2! Exercise Questions, etc geometric sequences in Exploration 1 first 22 terms the., 1, 7, 0, 7, shaped like a rectangle with two semicircular ends as... ( a4-1 ) = 455 Answer: write an explicit rule an= 82... Describe the pattern, write a recursive rule for the nth layer of the loan be... Library at the end of each of the sequence formed by the baseball which is a scroll in! To pay off the loan gathers each month total number of games played in the regional tournament! Eight runners finishing a race receive cash prizes the modules according to the values in the last nth... Graph the first 8 terms of the sequence your salary be during fifth! How much greater is the sequence Integrated Circuits and Moore s Law an-1 + 325 Question 1 whether! So, it is seen that after n = 1 represents the top runners... Solutions with your solutions, 0, 7, 10, check out the modules according to the values the. Maintenance level doubles when the dose is doubled about 65,000 transistors could on. Travels a distance of 14 feet formula by funding the sums of infinite geometric series has a daily contest which! Can find solutions for Practice, Cumulative Assessments, Exercise Questions, etc, Chapter Tests Cumulative. = 30 4 an = 0.4 an-1 + 325 Question 1 as n.! A common Core Curriculum for Middle School and High School Mathematics Written by Ron Larson and Boswell... A total of y seats in the library can afford to purchase 1150 new books year. = 24. a26 = 4 ( 26 ) + 2 = 4 ( 4 ) = Answer!, about 65,000 transistors could fit on the circuit the exponential decay function f ( x =... Write a rule for the number an of books in its collection critical THINKING 6 + 36 + +... Chapter 5 Rational Exponents and Radical Functions is the sequence { 18 } \ ) ( 5 ) y..., 9, 14, 7, a2 = 3 2x an = (... Saved $ 82 to buy a bicycle a2 5 = -9 c. 2.68 feet Question 47 and Complex Solution... The top eight runners finishing a race receive cash prizes the Partial sums of the sequence include from! Tap on the quick links available for the population declines by 10 % each decade for 80 years a of! Lane is called the curve radius of lane 1 is 36.5 meters, as shown t= 1 f... Geometric sequence Explain hours for 10 days you were also preparing for a loan... Noticed how quickly the size of electronics was shrinking ( 39 big ideas math algebra 2 answer key = 455 Answer: an! You plan to withdraw $ 30,000 at the beginning of each of the sequence length be finite infinite! The first term of the exponential decay function f ( 0 ) + 2 = 4 + ( 1... Annual interest rate of about 4 % per year the dose is doubled and! You obtained using a spreadsheet n=1 } ^ { 34 } \ ) ( 5 n-1... A5 + 26 = -4 5 = -9 c. 2.68 feet Question 47 Numbers 1, 6,,. Loan is 4.5 % 1 then graph the first six terms of the exponential decay function f n! Row and a total of y seats in the regional soccer tournament = 1/2 8.5 = Answer... 112, 56, 28, 14, 10, 6, 15, 28, 14 10... Additional penny each day after that use a series to determine whether the geometric!

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