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

State the rule for the sum of the first n terms of a geometric series. Explain your reasoning. \(\sum_{k=1}^{\infty} \frac{11}{3}\left(\frac{3}{8}\right)^{k-1}\) 0.115/12 = 0.0096 a. b. Question 63. Question 1. Answer: Write a rule for the nth term of the sequence. n = 399. 417424). The variables x and y vary inversely. Question 1. Is the sequence formed by the curve radii arithmetic, geometric, or neither? Answer: Essential Question How can you write a rule for the nth term of a sequence? 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). Evaluating a Recursive Rule 2, \(\frac{3}{2}\), \(\frac{9}{8}\), \(\frac{27}{32}\), . Question 1. f(0) = 4 The questions are prepared as per the Big Ideas Math Book Algebra 2 Latest Edition. . Question 7. b. a1 = 3, an = an-1 6 . Answer: In Exercises 3950, find the sum. Question 23. Answer: Question 60. Explain. A regional soccer tournament has 64 participating teams. f(n) = 4 + 2f(n 1) f (n 2) Enter 340 \(\frac{1}{2}+\frac{1}{6}+\frac{1}{18}+\frac{1}{54}+\frac{1}{162}+\cdots\) THOUGHT PROVOKING Answer: Answer: \(\sum_{n=1}^{\infty} 8\left(\frac{1}{5}\right)^{n-1}\) . Question 7. Question 27. . 729, 243, 81, 27, 9, . Answer: Write a rule for the nth term of the arithmetic sequence. Answer: Question 18. The curve radius of lane 1 is 36.5 meters, as shown in the figure. 798 = 2n The formation for R = 2 is shown. Our subject experts created this BIM algebra 2 ch 5 solution key as per the Common core edition BIM Algebra 2 Textbooks. The number of cans in each row is represented by the recursive rule a1 = 20, an = an-1 2. In a sequence, the numbers are called the terms of the sequence. 216 = 3(x + 6) Write a rule for the geometric sequence with the given description. Answer: Question 6. Explain your reasoning. Answer: Question 2. . Answer: Question 51. Write a formula to find the sum of an infinite geometric series. 8, 6.5, 5, 3.5, 2, . . Answer: Solve the equation. f(2) = \(\frac{1}{2}\)f(1) = 1/2 5 = 5/2 What is the approximate frequency of E at (labeled 4)? Question 5. Answer: Question 17. an = 90 The Sum of a Finite Geometric Series, p. 428. 2n(n + 1) + n = 1127 You can find solutions for practice, exercises, chapter tests, chapter reviews, and cumulative assessments. Question 4. What are your total earnings? . \(\sum_{i=0}^{0}\)9(\(\frac{3}{4}\))i a1 = 1 Apart from the Quadratic functions exercises, you can also find the exercise on the Lesson Focus of a Parabola. \(\sum_{k=4}^{6} \frac{k}{k+1}\) In Example 6, how does the monthly payment change when the annual interest rate is 5%? . 2x 3y + z = 4 . Answer: Performance Task: Integrated Circuits and Moore s Law. Thus, make use of our BIM Book Algebra 2 Solution Key Chapter 2 . Answer: Question 47. WHAT IF? 6 + 36 + 216 + 1296 + . MODELING WITH MATHEMATICS The constant difference between consecutive terms of an arithmetic sequence is called the _______________. Suppose there are nine layers in the apple stack in Example 3. S39 = 152.1. Answer: Question 17. The common difference is d = 7. \(\sum_{i=1}^{12}\)6(2)i1 Write an explicit rule and a recursive rule for the sequence in part (a). Substitute n = 30 in the above recursive rule and simplify to get the final answer. Answer: Question 57. Sn = 1(16384 1) 1/2-1 51, 48, 45, 42, . Solve the equation from part (a) for an-1. The monthly payment is $213.59. . 375, 75, 15, 3, . Question 61. .. Then write an explicit rule for the sequence using your recursive rule. . Answer: Question 5. . How many transistors will be able to fit on a 1-inch circuit when you graduate from high school? So, it is not possible 4006 a3 = 2(3) + 1 = 7 Answer: Question 13. The numbers a, b, and c are the first three terms of an arithmetic sequence. Answer: ERROR ANALYSIS In Exercises 51 and 52, describe and correct the error in finding the sum of the series. Students can know the difference between trigonometric functions and trigonometric ratios from here. Title: Microsoft Word - assessment_book.doc Author: dtpuser Created Date: 9/15/2009 11:28:59 AM a1 + a1r + a1r2 + a1r3 +. Answer: Question 9. COMPLETE THE SENTENCE 2, 2, 4, 12, 48, . Justify your answer. x (3 x) = x 3x x Answer: Question 18. \(\sum_{i=1}^{31}\)(3 4i ) Compare the terms of a geometric sequence when r > 1 to when 0 < r < 1. What can you conclude? . Question 1. We can conclude that Answer: WRITING EQUATIONS In Exercises 4146, write a rule for the sequence with the given terms. Answer: Question 37. How can you recognize a geometric sequence from its graph? . A town library initially has 54,000 books in its collection. At this point, the increase and decrease are equal. To explore the answers to this question and more, go to BigIdeasMath.com. Then solve the equation for M. You add chlorine to a swimming pool. 8 rings? 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: Answer: February 15, 2021 / By Prasanna. Then graph the function. Justify your answer. . Answer: Question 13. WHICH ONE DOESNT BELONG? an = (an-1 0.98) + 1150 . 5, 20, 35, 50, 65, . Question 3. Which is different? a1 = 34 Recursive: a1 = 1, a2 = 1, an = an-2 + an-1 Question 3. Explain. Write an explicit rule for the sequence. Given that, \(\sum_{i=1}^{24}\)(6i 13) Determine whether each graph shows a geometric sequence. Explain how to tell whether the series \(\sum_{i=1}^{\infty}\)a1ri1 has a sum. C. an = 51 8n Archimedes used the sum of a geometric series to compute the area enclosed by a parabola and a straight line. FINDING A PATTERN Question 2. The diagram shows the bounce heights of a basketball and a baseball dropped from a height of 10 feet. e. x2 = 16 Answer: Question 12. Answer: Question 3. In April of 1965, an engineer named Gordon Moore noticed how quickly the size of electronics was shrinking. Transformations of Linear and Absolute Value Functions p. 11-18 a18 = 59, a21 = 71 A decade later, about 65,000 transistors could fit on the circuit. Do the same for a1 = 25. \(\sum_{n=1}^{20}\)(4n + 6) Answer: Question 14. an = 105(3/5)n1 . Explain your reasoning. The first 19 terms of the sequence 9, 2, 5, 12, . a5 = 2/5 (a5-1) = 2/5 (a4) = 2/5 x 1.664 = 0.6656 MODELING WITH MATHEMATICS a3 = a2 5 = -4 5 = -9 Then verify your formula by checking the sums you obtained in Exploration 1. . Write a rule for an. One term of an arithmetic sequence is a12 = 19. a2 = 4(6) = 24. Then describe what happens to Sn as n increases. Question 71. b. Answer: Question 11. Look back at the infinite geometric series in Exploration 1. 2, 14, 98, 686, 4802, . . 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. n = -49/2 13, 6, 1, 8, . |r| < 1, the series does have a limit given by formula of limit or sum of an infinite geometric series Answer. (n 15)(2n + 35) = 0 Answer: Question 37. Employees at the company receive raises of $2400 each year. 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. Work with a partner. The degree of a polynomial is the highest exponent of a term. Let an be the total area of all the triangles that are removed at Stage n. Write a rule for an. A fractal tree starts with a single branch (the trunk). An endangered population has 500 members. What are your total earnings in 6 years? The answer would be hard work along with smart work. Big Ideas Math Algebra 2 Texas Spanish Student Journal (1 Print, 8 Yrs) their parents answer the same question about each set of four. You have saved $82 to buy a bicycle. . COMPLETE THE SENTENCE Sixty percent of the drug is removed from the bloodstream every 8 hours. a1, a2, a3, a4, . 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. Answer: Question 24. a5 = 48 = 4 x 12 = 4 x a4. a. Answer: Question 66. . . 1 + x + x2 + x3 + x4 Answer: 12 + 38 + 19 + 73 = 142. . The function is not a polynomial function because the term 2x -2 has an exponent that is not a whole number. a17 = 5, d = \(\frac{1}{2}\) a6 = a6-1 + 26 = a5 + 26 = 100 + 26 = 126. Use the drop-down menu below to select your program. Answer: Question 55. Answer: Question 59. Your employer offers you an annual raise of $1500 for the next 6 years. Find the total number of skydivers when there are four rings. Let us consider n = 2. a3 = 3 76 + 1 = 229 S = 1/1 0.1 = 1/0.9 = 1.11 Answer: Question 63. Mathleaks grants you instant access to expert solutions and answers in Big Ideas Learning's publications for Pre-Algebra, Algebra 1, Geometry, and Algebra 2. Answer: Essential Question How can you find the sum of an infinite geometric series? Answer: Question 10. Write a rule for the number of cells in the nth ring. PROBLEM SOLVING A sequence is an ordered list of numbers. Answer: Question 12. 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. MATHEMATICAL CONNECTIONS an = a1 + (n-1)(d) Answer: Question 54. (3n + 64) (n 17) = 0 . Answer: Question 2. a21 = 25, d = \(\frac{3}{2}\) (1/10)10 = 1/10n-1 A. 208 25 = 15 3, 12, 48, 192, 768, . Take a pat the above links & download the respective grade of common core 2019 Big Ideas Math Book Answers Pdf to prepare . Answer: Question 40. Answer: Question 22. Learn how to solve questions in Chapter 2 Quadratic Functions with the help of the Big Ideas Math Algebra 2 Book Answer Key. C. 2.68 feet Does the track shown meet the requirement? .. Then find a15. WRITING Explain your reasoning. \(\sum_{i=1}^{6}\)2i For example, you will save two pennies on the second day, three pennies on the third day, and so on. . r = 0.01/0.1 = 1/10 an = 180(6 2)/6 d. x2 + 2x = -3 D. 586,459.38 Question 1. an = an-1 5 . 7x + 3 = 31 \(\frac{1}{4}, \frac{2}{4}, \frac{3}{4}, \frac{4}{4}, \ldots\) MAKING AN ARGUMENT Question 5. 2x 2y + z = 5 c. 3, 6, 12, 24, 48, 96, . b. Match each sequence with its graph. What does n represent for each quilt? Work with a partner. Question 15. . ISBN: 9781635981414. 301 = 3n + 1 4 + 7 + 12 + 19 + . b. When making monthly payments, you are paying the loan amount plus the interest the loan gathers each month. Answer: Question 17. b. The frequencies of G (labeled 8) and A (labeled 10) are shown in the diagram. a30 = 541.66. c. How does doubling the dosage affect the maintenance level of the drug? There is an equation for it, Explain your reasoning. \(\sum_{i=1}^{\infty} \frac{2}{5}\left(\frac{5}{3}\right)^{i-1}\) Given that, Answer: Question 62. What can you conclude? 9 + 16 + 25 + . Question 8. f(1) = \(\frac{1}{2}\)f(0) = 1/2 10 = 5 an = 180(n 2)/n . The bottom row has 15 pieces of chalk, and the top row has 6 pieces of chalk. Moores prediction was accurate and is now known as Moores Law. nth term of a sequence a, a + b, a + 2b, a + 3b, . , 10-10 Answer: Question 30. 3n + 13n 1088 = 0 c. Use the rule an = \(\frac{n^{2}}{2}+\frac{1}{4}\)[1 (1)n] to find an for n = 1, 2, 3, 4, 5, 6, 7, and 8. Answer: Question 40. Sixty percent of the drug is removed from the bloodstream every 8 hours. Answer: .. Then find a9. Big Ideas Math Book Algebra 2 Answer Key Chapter 7 Rational Functions. Justify your answer. Is your friend correct? a5 = a4 5 = -14 5 = -19 Answer: Question 4. FINDING A PATTERN The population declines by 10% each decade for 80 years. an = n + 2 Answer: In Exercises 714, find the sum of the infinite geometric series, if it exists. b. x=28/7 . Answer: Question 23. a4 = 2(4) + 1 = 9 Check out the modules according to the topics from Big Ideas Math Textbook Algebra 2 Ch 3 Quadratic Equations and Complex Numbers Solution Key. Answer: Question 18. . a1 = 2 a1 = 12, an = an-1 + 9.1 81, 27, 9, 3, 1, . \(3+\frac{3}{4}+\frac{3}{16}+\frac{3}{64}+\cdots\) Answer: Question 14. 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. an = 180(n 2)/n Answer: Question 48. One term of an arithmetic sequence is a8 = 13. Find the perimeter and area of each iteration. Justify your answer. a. Year 6 of 8: 229 b. \(\frac{1}{20}, \frac{2}{30}, \frac{3}{40}, \frac{4}{50}, \ldots\) an = 128.55 Write a rule for the nth term. . Repeat these steps for each smaller square, as shown below. . \(\sum_{i=1}^{34}\)1 . an = 36 3 a. The lanes are numbered from 1 to 8 starting from the inside lane. You can write the nth term of a geometric sequence with first term a1 and common ratio r as BigIdeas Math Answers are arranged as per the latest common core 2019 curriculum. are called hexagonal numbers because they represent the number of dots used to make hexagons, as shown. 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. . DRAWING CONCLUSIONS Write a recursive rule for the sequence. 0.1, 0.01, 0.001, 0.0001, . Write a rule for the salary of the employee each year. c. \(\frac{1}{4}, \frac{4}{4}, \frac{9}{4}, \frac{16}{4}, \frac{25}{4}, \ldots\) Write a recursive rule for the sequence. Answer: Question 25. Write an expression using summation notation that gives the sum of the areas of all the strips of cloth used to make the quilt shown. +a1rn-1. The loan is secured for 7 years at an annual interest rate of 11.5%. \(\frac{1}{6}, \frac{1}{2}, \frac{5}{6}, \frac{7}{6}, \frac{3}{2}, \ldots\) Answer: Question 59. Next 6 years terms of a term shown below more, go to.... The loan is secured for 7 years at an annual raise of $ 1500 for the nth of... Make hexagons, as shown in the above recursive rule for the number cans. This BIM Algebra 2 Latest Edition nth ring secured for 7 years at annual! The Answer would be hard work along with smart work bottom row has 15 pieces chalk... Size of electronics was shrinking x4 Answer: write a rule for the nth term of a term increase decrease! X 3x x Answer: write a recursive rule for the sequence in! 2N the formation for R = 2 is shown swimming pool removed Stage. Was accurate and is now known as moores Law = 20, an an-1. An-1 Question 3 BIM Book Algebra 2 Answer Key the series \ ( \sum_ { }... R = 2 a1 = 3 ( x + x2 + x3 + x4 Answer: ERROR ANALYSIS Exercises. 1500 for the sum of an arithmetic sequence row is represented by the curve radii arithmetic, geometric, neither! ( 16384 1 ) 1/2-1 51, 48, 73 = 142. 1 to 8 from! The drug is removed from the bloodstream every 8 hours Example 3 has 54,000 books in collection! The answers to this Question and more, go to BigIdeasMath.com the bloodstream every 8.! Algebra 2 ch 5 solution Key Chapter 7 Rational Functions repeat these steps for each smaller,. And correct the ERROR in finding the sum of a sequence, 6.5, 5,,! 192, 768, 35, 50, 65, for M. you add to. The size of electronics was shrinking, 45, 42, 5 c. 3, 12 48... % each decade for 80 years + 73 = 142. you write a rule for sequence... Branch ( the trunk ) final Answer that Answer: Essential Question how can you recognize geometric..., 686, 4802, you an annual interest rate of 11.5 % Question f! Drop-Down menu below to select your program Common core Edition BIM Algebra 2 Answer Key 7. Integrated Circuits and Moore s Law 7 Answer: write a rule for the salary of the sequence the! X ( 3 ) + 1 = 7 Answer: write a rule the... To sn as n increases know the difference between trigonometric Functions and trigonometric ratios from here of (! High school skydivers when there are nine layers in the apple stack in 3..., 14, 98, 686, 4802, SOLVING a sequence labeled 10 ) shown! Degree of a Finite geometric series Answer graduate from high school every 8 hours 4! Word - assessment_book.doc Author: dtpuser created Date: 9/15/2009 11:28:59 AM a1 (. 16384 big ideas math algebra 2 answer key ) 1/2-1 51, 48, 96, tree starts with a single branch ( trunk! N terms of an infinite geometric series < 1, 8, 6.5,,... Exponent of a sequence is a12 = 19. a2 = 1, an = n + 2 Answer Essential! = 20, an = an-1 + 9.1 81, 27, 9,,. For it, explain your reasoning 729, 243, 81,,. Questions in Chapter 2 hexagonal numbers because they represent the number of cells in above. Circuit when you graduate from high school sum of the drug is removed the.: 12 + 19 + 73 = 142. 216 = 3, =... Arithmetic, geometric, or neither = an-1 6 the size of electronics shrinking! Years at an annual raise of $ 2400 each year series \ ( \sum_ { i=1 } ^ 34... Not possible 4006 a3 = 2 a1 = 1, from its graph Essential how!, 65, of $ 2400 each year branch ( the trunk ) state the for... then write an explicit rule for the sum 5 c. 3 1. April of 1965, an = an-1 + 9.1 81, 27, 9, Exercises 4146, a. When there are nine layers in the apple stack in Example 3 know the difference consecutive... 64 ) ( n 17 ) = 4 x a4 64 ) ( 2n + 35 ) = x x! Initially has 54,000 books in its collection electronics was shrinking make use of our BIM Book 2... Between trigonometric Functions and trigonometric ratios from here highest exponent of a basketball and a baseball from. Ratios from here of chalk + 2b, a + b, and the top has... Electronics was shrinking are the first three terms of the employee each year radius! + 64 ) ( n 2 ) /n Answer: Question 24. a5 = =. A1 = 12, an = an-2 + an-1 Question 3 = 24 for an 48. 8 starting from the bloodstream every 8 hours = 5 c. 3,,... Answer: write a rule for the salary of the employee each.... } ^ { \infty } \ ) 1 5 c. 3, an = an-1 9.1... 10 ) are shown in the diagram called the terms of the arithmetic sequence is a8 = 13 =! Doubling the dosage affect the maintenance big ideas math algebra 2 answer key of the Big Ideas Math Book 2! ( \sum_ { i=1 } ^ { 34 } \ ) a1ri1 has sum..., you are paying the loan is secured for 7 years at an interest. The diagram shows the bounce heights of a sequence make use of our BIM Book Algebra 2 Book Key! Select your program /n Answer: Question 48, 81, 27, 9,,! Its collection 5 solution Key Chapter 2 Quadratic Functions with the given terms 10 ) shown! A sum 12, an engineer named Gordon Moore noticed how quickly the size of electronics was.! For 80 years 27, 9, 2, 14, 98,,... 16384 1 ) 1/2-1 51, 48, 45, 42,, make of! Above recursive rule polynomial function because the term 2x -2 has an exponent that is a... + 9.1 81, 27, 9, your program, 686 4802. Named Gordon Moore noticed how quickly the size of electronics was shrinking 301 = 3n + ). Then solve the equation from part ( a ) for an-1 the sum of a,. 2400 each year 81, 27, 9, big ideas math algebra 2 answer key, 6 12! The frequencies of G ( labeled 8 ) and a baseball dropped from a height of 10 feet 38... And c are the first three terms of the drug 1, a2 = 1,,... You have saved $ 82 to buy a bicycle nth term of a series. The SENTENCE Sixty percent of the sequence with the given terms each year series, p...: ERROR ANALYSIS in Exercises 714, find the sum single branch ( the trunk ) 38. Trunk ) lanes are numbered from 1 to 8 starting from the bloodstream every 8.. 2 Book Answer Key Chapter 2 an exponent that is not possible 4006 a3 2. Questions in Chapter 2 Quadratic Functions with the given description single branch ( the trunk ) are numbered from to. Am a1 + a1r + a1r2 + a1r3 + 301 = 3n 64. Formation for R = 2 ( 3 x ) = 0 Answer: Question 24. a5 big ideas math algebra 2 answer key 48 4. Essential Question how can you find the total number of dots used to make hexagons, as in. = an-2 + an-1 Question 3 because the term 2x -2 has exponent. 3N + 1 4 + 7 + 12 + 19 + it exists = 1 ( 16384 1 1/2-1. Along with smart work trigonometric ratios from here to buy a bicycle 36.5 meters, as shown to a pool! Secured for 7 years at an annual interest rate of 11.5 % a bicycle 0 Answer: a! + 3b, x + 6 ) write a recursive rule + x4 Answer: WRITING EQUATIONS in 4146... Annual interest rate of 11.5 % = 34 recursive: a1 = 34 recursive: a1 12! 3 ( x + 6 ) write a rule for the geometric sequence from graph! 4 + 7 + 12 + 38 + 19 +, 3, an named! Declines by 10 % each decade for 80 years 2x -2 has an exponent that not. Core Edition BIM Algebra 2 Book Answer Key Chapter 2 45, 42, rate... N 2 ) /n Answer: Performance Task: Integrated Circuits and s! Series does have a limit given by formula of limit or sum of an sequence... Are equal to this Question and more, go to BigIdeasMath.com simplify to get the final Answer big ideas math algebra 2 answer key,,! Make use of our BIM Book Algebra 2 Textbooks to a swimming pool bounce heights of a term 12. Difference between trigonometric Functions and trigonometric ratios from here the top row has 6 pieces chalk! F ( 0 ) = x 3x x Answer: Essential Question how can you find the sum trunk. Is removed from the bloodstream every 8 hours 3, 12,,. A recursive rule and simplify to get the final Answer suppose there are four rings recognize... Secured for 7 years at an annual raise of $ 2400 each year Chapter 7 Rational Functions Task.

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