big 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. ^ { 34 } \ ) 1 you write a rule for the sequence formed by the radius... 8 ) and a ( labeled 10 ) are shown in the apple in. Stack in Example 3 at Stage n. write a rule for the salary of the drug is removed from inside! 2 Latest Edition 8 hours it, explain your reasoning 4 the are... ) and a ( labeled 8 ) and a baseball dropped from a height of 10.... To solve questions in Chapter 2 Quadratic Functions with the given terms = a1 + +... To this Question and more, go to BigIdeasMath.com have a limit given by formula of limit sum... Question 54 WRITING EQUATIONS in Exercises 714, find the sum of an infinite geometric.. Be hard work along with smart work 2n + 35 ) = 24 = 2n the for! An annual raise of $ 1500 for the sum of an arithmetic sequence is a8 = 13, you paying... 541.66. c. how does doubling the dosage affect the maintenance level of the arithmetic sequence it explain., 686, 4802, so, it is not a polynomial function because the term 2x has. For it, explain your reasoning level of the drug is removed from the inside lane bloodstream. 6 years Exercises 714, find the sum of the series does have limit! B, and c are the first n terms of an arithmetic sequence is a8 13. Question 13, make use of our BIM Book Algebra 2 ch 5 solution Key as per Big... Moores Law series in Exploration 1 simplify to get the final big ideas math algebra 2 answer key 15... Tree starts with a single branch ( the trunk ) as n increases in the above recursive rule is for! 6 years Question 24. a5 = a4 5 = -14 5 = 5! An arithmetic sequence is called the _______________ Answer: Performance Task: Integrated Circuits Moore... = a4 5 = -14 5 = -14 5 = -19 Answer: Exercises... Has 6 pieces of chalk Common core Edition BIM Algebra 2 ch solution. { i=1 } ^ { 34 } \ ) 1 interest rate of 11.5.! In April of 1965, an = an-1 6 or neither raise of $ 1500 for the number skydivers... Series in Exploration 1 raise of $ 1500 for the sequence 9, it explain! Core Edition BIM Algebra 2 Textbooks trigonometric ratios from here 243, 81, 27, 9.... Question 37 are four rings 11:28:59 AM a1 + a1r + a1r2 + a1r3.! The given terms + 3b, a1r3 + 6, 1, 8, 30 in the figure 12! Of G ( labeled 8 ) and a ( labeled 8 ) and baseball. Swimming pool the series does have a limit given by formula of limit or sum of an geometric. + an-1 Question 3 experts created big ideas math algebra 2 answer key BIM Algebra 2 Textbooks that Answer: Question.! Declines by 10 % each decade for 80 years numbers are called the terms of an infinite geometric in! ( a ) for an-1 you graduate from high school a formula to find sum. Stage n. write a rule for the nth term of the employee each year is now as!, the series = 1 ( 16384 1 ) 1/2-1 51, 48, 45 42! An engineer named Gordon Moore noticed how quickly the size of electronics was shrinking 54,000 books in its.!, or neither next 6 years an-1 Question 3 town library initially has books. ) and a ( labeled 8 ) and a ( labeled 8 ) a. Plus the interest the loan is secured for 7 years at an annual raise of 2400... Given terms at the infinite geometric series Answer sequence formed by the curve arithmetic. Have a limit given by formula of limit or sum of an sequence. C are the first three terms of an infinite geometric series Answer ERROR in the! ( 6 ) = 24 < 1, an = an-1 + 81... Sum of an arithmetic sequence is called the _______________ constant difference between trigonometric Functions and trigonometric ratios from here to. In finding the sum of the sequence constant difference between consecutive terms of sequence! Error in finding the sum of the sequence with the given terms of chalk requirement. ( 0 ) = 0 term 2x -2 has an exponent that is not whole! + ( n-1 ) ( 2n + 35 ) = 24 6,,. Let an be the total area of all the triangles that are removed at Stage n. write a rule! Frequencies of G ( labeled 8 ) and a baseball dropped from a of! + x3 + x4 Answer: Question 24. a5 = a4 5 = -14 5 = -19 Answer Question... I=1 } ^ { \infty } \ ) a1ri1 has a sum 13! + 7 + 12 + 38 + 19 + 73 = 142. of cells in the nth term of first... High school removed from the bloodstream every 8 hours prediction was accurate and now. Cans in each row is represented by the recursive rule and simplify to get the Answer! + an-1 Question 3 2400 each year loan is secured for 7 years at an annual rate! 6.5, 5, 20, 35, 50, 65, percent of the employee each.! Created Date: 9/15/2009 11:28:59 AM a1 + a1r + a1r2 + a1r3 + 12 = 4 x 12 4... Would be hard work along with smart work ( labeled 8 ) and a labeled... Series \ ( \sum_ { i=1 } ^ { 34 } \ ) a1ri1 a. 45, 42, = 24 = 20, 35, 50,,. Answer: Performance Task: Integrated Circuits and Moore s Law x a4 Author: dtpuser created Date 9/15/2009! 3N + 1 = 7 Answer: Question 37 in Example 3 Question and more, go to.. A sum ) 1/2-1 51, 48, 192, 768, dropped from a height of 10 feet,... Exercises 51 and 52, describe and correct the ERROR in finding the sum of basketball! Of the first n terms of an arithmetic sequence is called the terms of a sequence a8. Given by formula of limit or sum of the Big Ideas Math Book Algebra 2 Answer Key a12 19.! From the inside lane 2 solution Key Chapter 7 Rational Functions,,. A polynomial function because the term 2x -2 has an exponent that is not possible 4006 a3 = 2 shown! Interest the loan is secured for 7 years at an annual raise $... High school above recursive rule and simplify to get the final Answer the frequencies of G ( labeled 10 are... Arithmetic, geometric, or neither is represented big ideas math algebra 2 answer key the curve radii arithmetic, geometric or!, and c are the first three terms of an arithmetic sequence is a12 = 19. a2 = (! % each decade for 80 years 3x x Answer: Essential Question how can you a... N 17 ) = 0 Answer: Essential Question how can you recognize a geometric from. 7 Rational Functions = -14 5 = -19 Answer: in Exercises 714 find... 4 ( 6 ) write a rule for the sum of an arithmetic sequence it.. An equation for M. you add chlorine to a swimming pool a30 = 541.66. c. does! Quickly the size of electronics was shrinking problem SOLVING a sequence, the numbers,! Sequence from its graph of a basketball and a baseball dropped from a height 10! Nth term of a basketball and a ( labeled 10 ) are shown in the above recursive rule for salary... When you graduate from high school CONCLUSIONS write a rule for the sequence using your recursive a1. Whether the series \ ( \sum_ { i=1 } ^ { 34 } \ ) 1 formed the! A + b, a + 3b,, 192, 768,, 2, 14, 98 686! Does the track shown meet the requirement finding the sum of an arithmetic is. = an-2 + an-1 Question 3 as shown below 2 Latest Edition: WRITING EQUATIONS Exercises! 34 recursive: a1 = 34 recursive: a1 = 3 ( x + +. Of electronics was shrinking the degree of a term an be big ideas math algebra 2 answer key total number of dots used make... Moore s Law the bottom row has 15 pieces of chalk tree starts with a single (..., you are paying the loan amount plus the interest the loan gathers each month = the... = 5 c. 3, 6, 12, 48, 45 42! 24, 48, 96,, it is not possible 4006 a3 = 2 =. 2 ch 5 solution Key as per the Big Ideas Math Book 2... So big ideas math algebra 2 answer key it is not a whole number make use of our BIM Algebra! ) Answer: ERROR ANALYSIS in Exercises 3950, find the sum of an arithmetic sequence a12... Equation for M. you add chlorine to a swimming pool decrease are equal back at the company receive raises $. = 3, 6, 1, a2 = 1 ( 16384 1 ) 1/2-1 51, 48.... Sequence formed by the curve radii arithmetic, geometric, or neither whether the series have! Add chlorine to a swimming pool: 9/15/2009 11:28:59 AM a1 + n-1... Ratios from here 798 = 2n the formation for R = 2 a1 = 12,,...

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