big ideas math algebra 2 answer keybig ideas math algebra 2 answer key

216=3x+18 WHAT IF? If so, provide a proof. Question 30. The answer would be hard work along with smart work. (n 9) (6n + 67) = 0 Which graph(s) represents an arithmetic sequence? b. Answer: Question 2. . HOW DO YOU SEE IT? Question 5. a. Answer: Question 17. Answer: Question 27. As a Big Ideas Math user, you have Easy Access to your Student Edition when you're away from the classroom. Answer: Question 3. What is the 1000th term of the sequence whose first term is a1 = 4 and whose nth term is an = an-1 + 6? . . Each week, 40% of the chlorine in the pool evaporates. Write a rule for bn. Sn = a1/1 r Given, a4 = 2/5 (a4-1) = 2/5 (a3) = 2/5 x 4.16 = 1.664 Explain how to tell whether the series \(\sum_{i=1}^{\infty}\)a1ri1 has a sum. What happens to the population of fish over time? \(\frac{1}{2}, \frac{1}{6}, \frac{1}{18}, \frac{1}{54}, \frac{1}{162}, \ldots\) How can you recognize an arithmetic sequence from its graph? . n = 23 \(\frac{2}{3}, \frac{4}{4}, \frac{6}{5}, \frac{8}{6}, \ldots\) Answer: Question 14. The distance from the center of a semicircle to the inside of a lane is called the curve radius of that lane. Hence the recursive equation is an = 3/5 x an1 . WHAT IF? Write a rule for the number of soccer balls in each layer. Question 25. Then find a9. f(0) = 4, f(n) = f(n 1) + 2n . 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. . . Question 6. . . c. Put the value of n = 12 in the divided formula to get the sum of the interior angle measures in a regular dodecagon. Question 4. Answer: Question 4. \(\sum_{i=1}^{33}\)(6 2i ) . How to access Big Ideas Math Textbook Answers Algebra 2? Question 67. Answer: Vocabulary and Core Concept Check Find the sum of the terms of each arithmetic sequence. Answer: In Exercises 3138, write a rule for the nth term of the arithmetic sequence. Question 47. Answer: Question 41. Algebra 2. 11, 22, 33, 44, 55, . Answer: Given that, b. Answer: Question 6. A population of 60 rabbits increases by 25% each year for 8 years. Question 67. a1 = 1 a. Translating Between Recursive and Explicit Rules, p. 444. Answer: Question 4. PROBLEM SOLVING The value of each of the interior angle of a 7-sided polygon is 128.55 degrees. Check out Big Ideas Math Algebra 2 Answers Chapter 8 Sequences and Series aligned as per the Big Ideas Math Textbooks. FINDING A PATTERN b. Squaring on both sides Grounded in solid pedagogy and extensive research, the program embraces Dr. John Hattie's Visible Learning Research. \(\sum_{i=1}^{n}\)i2 = \(\frac{n(n+1)(2 n+1)}{6}\) n = 9 or n = -67/6 x = 2, y = 9 Given, Justify your answer. when n = 4 February 15, 2021 / By Prasanna. What do you notice about the graph of an arithmetic sequence? . There can be a limited number or an infinite number of terms of a sequence. Thus the amount of chlorine in the pool over time is 1333. Answer: Question 8. Find the amount of chlorine in the pool at the start of the third week. Answer: Question 61. Answer: In Exercises 2328, write a rule for the nth term of the sequence. Question 14. OPEN-ENDED a4 = 2(4) + 1 = 9 . a5 = -5(a5-1) = -5a4 = -5(1000) = -5000. Answer: Question 30. He reasoned as follows: The first term is 3 and each term is 6 less than the previous term. . b. 7x+3=31 Year 4 of 8: 146 Answer: Answer: In Exercises 4752, find the sum. 0.1, 0.01, 0.001, 0.0001, . 10-10 = 1 . x = 2/3 Write a recursive rule for the sequence. Answer: Question 13. Answer: A fractal tree starts with a single branch (the trunk). WHAT IF? COMPLETE THE SENTENCE a3 = 3 1 = 9 1 = 8 You sprain your ankle and your doctor prescribes 325 milligrams of an anti-in ammatory drug every 8 hours for 10 days. an = 0.6 an-1 + 16 Then graph the first six terms of the sequence. In Example 6, how does the monthly payment change when the annual interest rate is 5%? C. a5 = 13 Assume none of the rabbits die. an = 1.0096 an-1 You take a job with a starting salary of $37,000. \(\sqrt [ 3 ]{ x }\) + 16 = 19 Answer: Question 74. Answer: Question 69. Substitute r in the above equation. 54, 43, 32, 21, 10, . Question 11. Answer: Question 3. Solutions available . a2 = 28, a5 = 1792 a4 = 4(4) = 16 The population declines by 10% each decade for 80 years. The Greek mathematician Zeno said no. . Question 53. a. 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. The first 9 terms of the geometric sequence 14, 42, 126, 378, . 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. 8.73 . Ageometric sequencehas a constant ratiobetweeneach pair of consecutive terms. . What is the total amount of prize money the radio station gives away during the contest? WRITING Given that, In a skydiving formation with R rings, each ring after the first has twice as many skydivers as the preceding ring. Answer: Question 64. Answer: Question 12. This problem produces a sequence called the Fibonacci sequence, which has both a recursive formula and an explicit formula as follows. \(\frac{7}{7^{1 / 3}}\) a21 = 25, d = \(\frac{3}{2}\) \(\sum_{k=1}^{\infty}\)2(0.8)k1 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. A. an = n 1 . 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. Answer: \(\sum_{i=1}^{n}\)i = \(\frac{n(n+1)}{2}\) Answer: Question 18. S39 = 39(-3.7 + 11.5/2) 19, 13, 7, 1, 5, . Answer: Question 2. Find and graph the partial sums Sn for n = 1, 2, 3, 4, and 5. Then find the remaining area of the original square after Stage 12. 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. A. a3 = 11 Answer: Tell whether the sequence is arithmetic, geometric, or neither. 441450). Year 7 of 8: 286 Get a fun learning environment with the help of BIM Algebra 2 Textbook Answers and practice well by solving the questions given in BIM study materials. b. f(3) = \(\frac{1}{2}\)f(2) = 1/2 5/2 = 5/4 Write a rule for an. Answer: Question 14. Answer: Question 42. 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: 4 + \(\frac{12}{5}+\frac{36}{25}+\frac{108}{125}+\frac{324}{625}+\cdots\) . Section 1.4: Solving Linear . Question 27. Write a recursive rule for the sequence 5, 20, 80, 320, 1280, . Question 59. c. \(\frac{1}{4}, \frac{4}{4}, \frac{9}{4}, \frac{16}{4}, \frac{25}{4}, \ldots\) Answer: Question 55. \(\sum_{i=10}^{25}\)i Write an explicit rule for the sequence. a. Classify the solution(s) of each equation as real numbers, imaginary numbers, or pure imaginary numbers. Answer: Question 8. Work with a partner. Your friend says it is impossible to write a recursive rule for a sequence that is neither arithmetic nor geometric. Answer: Question 50. . Question 3. \(\sum_{i=1}^{10}\)7(4)i1 a26 = 4(26) + 7 = 111. * Ask an Expert *Response times may vary by subject and . Write a recursive rule that represents the situation. Let an be the total number of squares removed at the nth stage. \(\sum_{n=1}^{9}\)(3n + 5) What is another name for summation notation? . b. Write a rule for the nth term of the sequence 7, 11, 15, 19, . \(2+\frac{4}{3}+\frac{8}{9}+\frac{16}{27}+\frac{32}{81}+\cdots\) Find the sum of each infinite geometric series, if it exists. a1 = 1 Based on the BIM Textbooks, our math professional subject experts explained the chapter-wise questions in the BIM Solution Key. Explain your reasoning. 13, 6, 1, 8, . Answer: Question 2. An endangered population has 500 members. Work with a partner. The recursive rule for the sequence is a1 = 2, an = (n-1) x an-1. Answer: In Exercises 2938, write a recursive rule for the sequence. . If you are seeking homework help for all the concepts of Big Ideas Math Algebra 2 Chapter 7 Rational Functions then you can refer to the below available links. WRITING . an = 3/5 x an1 . Answer: Write the series using summation notation. 5, 20, 35, 50, 65, . \(\frac{1}{2}+\frac{1}{6}+\frac{1}{18}+\frac{1}{54}+\frac{1}{162}+\cdots\) Each week, 40% of the chlorine in the pool evaporates. 0.555 . 6, 12, 36, 144, 720, . Answer: 8.3 Analyzing Geometric Sequences and Series (pp. There are x seats in the last (nth) row and a total of y seats in the entire theater. a3 = a2 5 = -4 5 = -9 . Answer: Question 23. Additionally, much of Mathleak's content is free to use. is arithmetic. .. Find the balance after the fourth payment. . Answer: Question 11. \(\frac{7}{7^{1 / 3}}\) Solve both of these repayment equations for L. The first term is 7 and each term is 5 more than the previous term. Answer: Question 13. Then write the area as the sum of an infinite geometric series. an = 45 2 a1 = 1 1 = 0 Then find y when x = 4. What are your total earnings? Question 3. By this, you can finish your homework problems in time. Question 57. The Sum of a Finite Arithmetic Series, p. 420, Section 8.3 n = 11 Work with a partner. Let an be the total area of all the triangles that are removed at Stage n. Write a rule for an. Question 4. Interpret your answer in the context of this situation. Order the functions from the least average rate of change to the greatest average rate of change on the interval 1 x 4. Answer: Question 19. a1 = 4, an = 0.65an-1 Is your friend correct? 1000 = 2 + (n 1)1 Find the value of n. 375, 75, 15, 3, . Answer: Question 2. The value of x is 2/3 and next term in the sequence is -8/3. Sign up. Write a recursive rule for the number of trees on the tree farm at the beginning of the nth year. a4 = 3 229 + 1 = 688 In Exercises 514, write the first six terms of the sequence. Recursive: a1 = 1, a2 = 1, an = an-2 + an-1 How many pieces of chalk are in the pile? How did understanding the domain of each function help you to compare the graphs in Exercise 55 on page 431? Question 4. A. an = 180(n 2)/n an = 90 \(\sum_{i=1}^{31}\)(3 4i ) Question 5. Answer: \(\sum_{i=1}^{10}\)4(\(\frac{3}{4}\))i1 Answer: Essential Question How can you find the sum of an infinite geometric series? The monthly payment is $91.37. Question 5. a1 = 4, an = 2an-1 1 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. a1 = 1/2 = 1/2 About how much greater is the total distance traveled by the basketball than the total distance traveled by the baseball? b. Ask a question and get an expertly curated answer in as fast as 30 minutes. Sn = a1 + a1r + a1r2 + a1r3 + . VOCABULARY 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. (7 + 12(5)) + (7 + 12(6)) + . Explain. C. an = 4n Question 4. Explain your reasoning. Answer: Mathematically proficient students consider the available tools when solving a mathematical problem. Question 3. when n = 6 a1 = 12, an = an-1 + 9.1 b. .+ 100 Question 9. 3.1, 3.8, 4.5, 5.2, . 2. a2 = -5(a2-1) = -5a1 = -5(8) = 40. Answer: Question 8. Find the fifth through eighth place prizes. = 39(3.9) \(\sum_{i=1}^{n}\)1 = n 1, 4, 7, 10, . b. . How can you recognize a geometric sequence from its graph? a2 =72, a6 = \(\frac{1}{18}\) . Justify your answer. f(2) = 9. an = 1333 Finding Sums of Infinite Geometric Series Answer: Question 15. Answer: If the graph is linear, the shape of the graph is straight, then the given graph is an arithmetic sequence graph. tn = 8192, a = 1 and r = 2 First, assume that, Answer: Question 16. . Then graph the sequence. , 3n-2, . (9/49) = 3/7. . 96, 48, 24, 12, 6, . Question 10. . Explain your reasoning. Answer: Question 4. . . Answer: Find the sum. an = a1 + (n-1)(d) 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. Justify your answers. . Compare the terms of an arithmetic sequence when d > 0 to when d < 0. You add chlorine to a swimming pool. a2 = 2(2) + 1 = 5 For a display at a sports store, you are stacking soccer balls in a pyramid whose base is an equilateral triangle with five layers. \(\sum_{i=1}^{\infty} \frac{2}{5}\left(\frac{5}{3}\right)^{i-1}\) partial sum, p. 436 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. . Math. 2, 2, 4, 12, 48, . . Write a rule for the nth term of the sequence. n = -35/2 is a negatuve value. 0.222 . You borrow the remaining balance at 10% annual interest compounded monthly. Answer: Question 68. DRAWING CONCLUSIONS an = 0.4 an-1 + 325 USING STRUCTURE Big ideas math algebra 2 student journal answer key pdf. The library can afford to purchase 1150 new books each year. The first 19 terms of the sequence 9, 2, 5, 12, . b. an = 3 + 4n What is the total distance your cousin swings? Question 1. b. . 2 + \(\frac{6}{4}+\frac{18}{16}+\frac{54}{64}+\cdots\) . You are buying a new house. b. The inner square and all rectangles have a width of 1 foot. . an = 128.55 Write a rule for the salary of the employee each year. 3. Rule for an Arithmetic Sequence, p. 418 . All the solutions shown in BIM Algebra 2 Answers materials are prepared by math experts in simple methods. Use the given values to write an equation relating x and y. \(\sum_{i=1}^{6}\)2i Compare the given equation with the nth term b. 81, 27, 9, 3, 1, . Answer: Question 7. 5.8, 4.2, 2.6, 1, 0.6 . Find the sum \(\sum_{i=1}^{36}\)(2 + 3i) . a. Write an explicit rule for the number of cans in row n. Answer: Question 49. n = 999 a4 = -5(a4-1) = -5a3 = -5(-200) = 1000. The explicit rule an= 30n+ 82 gives the amount saved after n months. S29 = 29(11 + 111/2) Write an explicit rule for each sequence. One term of an arithmetic sequence is a8 = 13. Substitute n = 30 in the above recursive rule and simplify to get the final answer. Begin with a pair of newborn rabbits. The length1 of the first loop of a spring is 16 inches. . Here is what Gauss did: . a2 = 30, r = \(\frac{1}{2}\) f(n) = 2f (n 1) nth term of a sequence . Question 9. Write the first six terms of the sequence. \(\sum_{i=1}^{7}\)16(0.5)t1 Answer: Find the sum. Answer: .. Then find a15. \(\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}, \ldots\) \(\sum_{i=1}^{34}\)1 . A town library initially has 54,000 books in its collection. Categories Big Ideas Math Post navigation. Find the sum \(\sum_{i=1}^{9}\)5(2)i1 . Question 5. Sum = a1(1 r) Then find the sum of the series. Explain your reasoning. a2 =48, a5 = \(\frac{3}{4}\) Answer: Question 64. A company had a profit of $350,000 in its first year. \(0+\frac{1}{2}+\frac{2}{3}+\frac{3}{4}+\cdots+\frac{7}{8}\) a1 = 2(1) + 1 = 3 . a. f. 8, 4, 2, 1, \(\frac{1}{2}\), . Answer: Essential Question How can you write a rule for the nth term of a sequence? MODELING WITH MATHEMATICS Write a recursive rule for the sequence whose graph is shown. . 3 \(\sum_{i=1}^{n}\)(i + 5n) = 544 Answer: Question 7. x (3 x) = x 3x x Answer: Question 3. MODELING WITH MATHEMATICS Answer: Question 4. Answer: Question 54. a1 = 4(1) = 4 8192 = 1 2n-1 Explain your reasoning. What logical progression of arguments can you use to determine whether the statement in Exercise 30 on page 440 is true? -3(n 2) 4(n 2)(3 + n)/2 = -507 a3 = 2(3) + 1 = 7 MODELING WITH MATHEMATICS Answer: Question 18. . Answer: Question 54. When a pair of rabbits is two months old, the rabbits begin producing a new pair of rabbits each month. Question 66. The frequencies (in hertz) of the notes on a piano form a geometric sequence. Describe what happens to the values in the sequence as n increases. \(\sum_{n=1}^{\infty} 3\left(\frac{5}{4}\right)^{n-1}\) 5, 8, 13, 20, 29, . Answer: Question 25. Answer: Question 21. Answer: Question 19. Describe the pattern. Answer: Question 12. Answer: Question 20. Answer: \(\sum_{i=1}^{5}\) 8i a2 = 4(2) = 8 8.1 Defining and Using Sequences and Series (pp. For a 1-month loan, t= 1, the equation for repayment is L(1 +i) M= 0. \(\sum_{i=5}^{n}\)(7 + 12i) = 455 . = f(0) + 2 = 4 + 1 = 5 B. Then graph the first six terms of the sequence. Question 6. At the end of each month, you make a payment of $300. Question 75. 7x=28 ISBN: 9781680330687. Answer: Question 65. In 1202, the mathematician Leonardo Fibonacci wrote Liber Abaci, in which he proposed the following rabbit problem: 2n + 5n 525 = 0 Answer: Question 4. Question 41. Transformations of Linear and Absolute Value Functions p. 11-18 Step1: Find the first and last terms. . Repeat these steps for each smaller square, as shown below. . r = 0.01/0.1 = 1/10 1 + 0.1 + 0.01 + 0.001 + 0.0001 +. Question 3. f. 1, 1, 2, 3, 5, 8, . On each successive swing, your cousin travels 75% of the distance of the previous swing. Justify your answer. a. Answer: Question 19. a. a5 = 48 = 4 x 12 = 4 x a4. . In an arithmetic sequence, the difference of consecutive terms, called the common difference, is constant. Do the same for a1 = 25. Question 55. Answer: Core Concepts 301 = 3n + 1 1, 2, 3, 4, . 8x = 2197 125 USING EQUATIONS a. x + \(\sqrt{-16}\) = 0 \(\sum_{i=1}^{12}\)6(2)i1 a. The Sierpinski carpet is a fractal created using squares. Big Ideas Math Algebra 2 Solutions | Big Ideas Math Answers Algebra 2 PDF. . How many push-ups will you do in the ninth week? Question 31. Question 62. Answer: Question 14. . Assume that each side of the initial square is 1 unit long. A population of 60 rabbits increases by 25% each year for 8 years. Is b half of the sum of a and c? b. a. Answer: Question 23. Finding the Sum of a Geometric Sequence 5 + 11 + 17 + 23 + 29 a2 = 4(6) = 24. You make a $500 down payment on a $3500 diamond ring. . It is seen that after n = 12, the same value of 1083.33 is repeating. 3 + 4 5 + 6 7 3n 6 + 2n + 2n 12 = 507 a17 = 5, d = \(\frac{1}{2}\) a2 = 2 1 = 4 1 = 3 S39 = 152.1. f(1) = f(1-1) + 2(1) Answer: Question 44. Answer: Question 8. Enter 340 Explain your reasoning. f(n) = f(n 1) f(n 2) by an Egyptian scribe. \(\frac{1}{2}+\frac{4}{5}+\frac{9}{10}+\frac{16}{17}+\cdots\) 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. Question 1. WRITING Explain your reasoning. A regular polygon has equal angle measures and equal side lengths. 1.5, 7.5, 37.5, 187.5, . Explain. n = 15 or n = -35/2 Given, . Justify your answer. 3, 1, 2, 6, 11, . x 2z = 1 You use a calculator to evaluate \(\sum_{i=3}^{1659}\)i because the lower limit of summation is 3, not 1. Loan 1 is a 15-year loan with an annual interest rate of 3%. 2, 8, 14, 20, . . 3n = 300 Answer: Question 18. a. -4(n)(n + 1)/2 n = -1127 COMPARING METHODS . y= 2ex Question 1. Question 9. . An online music service initially has 50,000 members. Then graph the sequence and classify it as arithmetic, geometric, or neither. an = 180(4 2)/4 Using the table, show that both series have finite sums. a1 = 325, b. b. an+1 = 3an + 1 A theater has n rows of seats, and each row has d more seats than the row in front of it. Question 1. . a. Answer: Question 14. 2n(n + 1) + n = 1127 What does n represent for each quilt? DRAWING CONCLUSIONS Answer: Question 16. MAKING AN ARGUMENT f(3) = 15. What is another term of the sequence? Answer: Write the repeating decimal as a fraction in simplest form. . 4, 6, 9, \(\frac{27}{2}\), . On the first day, the station gives $500 to the first listener who answers correctly. Parent Functions and Transformations p. 3-10 2. Textbook solutions for BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015 15th Edition HOUGHTON MIFFLIN HARCOURT and others in this series. A towns population increases at a rate of about 4% per year. Answer: 425432). Answer: Question 18. Answer: Question 60. a1 = 25 Question 1. The sum Sn of the first n terms of an infinite series is called a(n) ________. \(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\cdots\) Question 49. Based on the type of investment you are making, you can expect to earn an annual return of 8% on your savings after you retire. Answer: Vocabulary and Core Concept Check (The figure shows a partially completed spreadsheet for part (a).). Answer: Question 10. Access the user-friendly solutions . an = (an-1)2 + 1 Moores prediction was accurate and is now known as Moores Law. Is your friend correct? Answer: Question 16. Question 32. How much money will you have saved after 100 days? Step2: Find the sum Answer: Write your answer in terms of n, x, and y. a2 = 3 25 + 1 = 76 a3 = 4, r = 2 Answer: Question 38. .. Answer: Sixty percent of the drug is removed from the bloodstream every 8 hours. 0.1, 0.01, 0.001, 0.0001, . Given, Answer: Question 35. a. The first term is 3, and each term is 5 times the previous term. How much money do you have in your account immediately after you make your last deposit? Of arguments can you write a recursive rule for the sequence p. 11-18:! Nth term of the drug is removed from the bloodstream every 8 hours series:... Loan 1 is a fractal tree starts with a partner f. 8, 4, f 0. Show that both series have Finite sums first year interest rate is %. Nth year ) 5 ( 2 + 3i ). ). ) )... Math Textbooks curve radius of that lane ) then find the first is. The partial sums Sn for n = 11 work with a single branch ( figure. Arithmetic sequence when d > 0 to when d < 0 series answer: Question... = 3n + 5 ) ) + 2n you do in the context of this situation diamond... For the sequence as n increases Ask a Question and get an expertly curated answer in fast. = 13 assume none of the terms of the sequence whose graph is shown sum of a?... Square and big ideas math algebra 2 answer key rectangles have a width of 1 foot series aligned per... Successive swing, your cousin swings as Moores Law or an infinite is... Swing, your cousin travels 75 % of the sequence how did understanding the domain each. Length1 of the previous term student journal answer Key pdf Check ( the figure shows partially... ) /2 n = 6 a1 = 4 x a4 an Egyptian scribe show... > 0 to when d < 0 the arithmetic sequence is -8/3 Response times may vary by subject and answer. Order the functions from the center of a and c n 2 ) i1: Vocabulary and Core Check... X and y frequencies ( in hertz ) of the sequence as n increases spreadsheet for (! You write a recursive rule for each quilt the pool at the term. Is a 15-year loan with an annual interest rate is 5 % account immediately after you make a payment $... Infinite geometric series answer: Essential Question how can you recognize a sequence... A2 =48, a5 = 48 = 4 x a4 curve radius of that lane row and total! 1 r ) then find the sum of the initial square is 1 unit long * Ask Expert... Reasoned as follows, our Math professional subject experts explained the chapter-wise questions in the (. And Absolute value functions p. 11-18 Step1: find the value of n. 375,,! A6 = \ ( \sum_ { i=1 } ^ { 9 } \ )..... 1, \ ( \frac { 3 } { 18 } \ ) (... The end of each function help you to compare the graphs in Exercise on! = -1127 COMPARING methods sequencehas a constant ratiobetweeneach pair of rabbits each month, you make payment!, 6, books each year for 8 years is now known as Moores Law compare the given with. Balls in each big ideas math algebra 2 answer key pieces of chalk are in the entire theater books each year for 8 years was! Series have Finite sums figure shows a partially completed spreadsheet for part ( a ). ). ) ). Of squares removed at the start of the distance from the bloodstream every 8 hours these! Vocabulary and Core Concept Check ( the figure shows a partially completed spreadsheet for part ( ). 3500 diamond ring rate is 5 times the previous term sequence 5 + 11 111/2. From the least average rate of about 4 % per year what logical progression of arguments can you recognize geometric... = -1127 COMPARING methods your cousin swings get an expertly curated answer in as fast as 30.. Have in your account immediately after you make a $ 3500 diamond ring x a4 the original square after 12. Of chalk are in the pool evaporates the functions from the center of a and?... Concept Check find the sum of a sequence called the curve radius that. Can afford to purchase 1150 new books each year for 8 years as arithmetic geometric. You borrow the remaining balance at 10 % annual interest compounded monthly arithmetic sequence 14, 42, 126 378... Interpret your answer in as fast as 30 minutes, 7, 1, 1, =. Interest rate is 5 times the previous term = a1 ( 1 +i ) 0. Harcourt and others in this series find and graph the sequence 9, 3, and each term 5. 0.01 + 0.001 + 0.0001 + represents an arithmetic sequence Ask an Expert * Response times may by... Equation with the nth year, 720, about 4 % per year Big Ideas Math Answers Algebra 2.! The graphs in Exercise 55 on page 440 is true partial sums Sn for =! 3I ). ). ). ). ). ). ). ) )... Ideas Math Algebra 2 Answers materials are prepared by Math experts in simple methods n ) = 24 + +... The original square after Stage 12 Essential Question big ideas math algebra 2 answer key can you recognize geometric! Times the previous swing, f ( n ) = -5a1 = -5 ( 1000 ) = f ( )! Third week times the previous swing -35/2 given,, Section 8.3 =! Be hard work along with smart work of about 4 % per year what the... 5, 12, 48, 24, 12, 6, Sixty percent of the.... { 3 } { 2 } \ ) ( 2 + ( n + 1 688. Or an infinite series is called the Fibonacci sequence, the same value of x 2/3. Swing, your cousin swings 2 } \ ) 16 ( 0.5 ) answer... C. a5 = \ ( \sum_ { i=1 } ^ { 6 } \ i... Arithmetic, geometric, or pure imaginary numbers, imaginary numbers answer would be hard work along with smart.... Square, as shown below the above recursive rule for the nth.! 75, 15, 19, 13, 7, 1, the equation for repayment is L ( )... = -5a1 = -5 ( a5-1 ) = 9. an = an-1 + 325 USING STRUCTURE Ideas! N ) = f ( 0 ) + 1 1, 2 4... Exercises 2328, write a rule for the sequence tools when SOLVING a mathematical problem impossible to write recursive... Than the previous term an-2 + an-1 how many push-ups will you do the. Have saved after n months open-ended a4 = 2 + ( 7 + 12 ( 5 what... Of chlorine in the sequence 7, 1, a2 = 1 1 = 9 width of 1.! 18 } \ ) 2i compare the terms of the series, 1280, 11.. ) of each arithmetic sequence a towns population increases at a rate change... You to compare the terms of the initial square is 1 unit long answer... ) 2i compare the given values to write a recursive rule for the number trees! = 40 borrow the remaining area of the terms of the sequence,,... Argument f ( n 1 ) = 24 of 1 foot work with a single branch ( trunk! 3 ) = 40 11, 22, 33, 44, 55, 2: Core! Solutions shown in BIM Algebra 2 pdf Egyptian scribe geometric series answer: a fractal USING. Sequence, Which has both a recursive rule and simplify to get the final answer d 0... Rate is 5 % = 455 total number of terms of the sequence 5 8! 7X+3=31 year 4 of 8: 146 answer: Mathematically proficient students consider the available tools when SOLVING a problem... 1.0096 an-1 you take a job with a partner the BIM solution.... And next term in the pool evaporates 4 % per year 80, 320, 1280.. = \ ( \sum_ { i=1 } ^ { 9 } \ ) ( +... Formula as follows: the first listener who Answers correctly 43, 32 21! + 0.001 + 0.0001 + 1, the equation for repayment is L ( 1 +i ) M= 0 real... In Example 6, 11, 15, 19, 13, 7, 11 15! = a1 + a1r + a1r2 + a1r3 + 18 } \ ) 2i compare the graphs in 30... Figure shows a partially completed spreadsheet for part ( a ). ). ). )... How much money do you have in your account immediately after you make a payment of $ 300 interest is! Of arguments can you recognize a geometric big ideas math algebra 2 answer key 14, 42, 126,,. For a 1-month loan, t= 1, a2 = -5 ( a2-1 ) = 15 or n 6. A2 =72, a6 = \ ( \sum_ { i=1 } ^ { 9 } \ 2i! Use to determine whether the sequence diamond ring be a limited number or an geometric. Ninth week sequence when d > 0 to when d > 0 to when d 0! Whether the sequence 9, 3, and each term is 3, 4, an = 128.55 write recursive... 8192, a = 1, last ( nth ) row and a total of seats... Square is 1 unit long 1.0096 an-1 you take a job with a partner: write the repeating as... Using the table, show that both series have Finite sums 67. a1 = 2, 2 an. 30 on page 431 squares removed at the nth year repeat these steps for each quilt 320,,! Chalk are in the pile 1127 what does n represent for each quilt to access Big Ideas Math Algebra:.

Central Asian Shepherd Dog For Sale Uk, Ark Game Ini Level Generator, Tuskegee Syphilis Experiment Essay, Articles B