big ideas math algebra 2 answer key

a2 = -5(a2-1) = -5a1 = -5(8) = 40. c. How long will it take to pay off the loan? The monthly payment is $91.37. r = 4/3/2 Answer: Question 4. MODELING WITH MATHEMATICS Rule for an Arithmetic Sequence, p. 418 An endangered population has 500 members. Answer: Question 26. 9, 6, 4, $\frac{8}{3}$, $\frac{16}{9}$, . Take a pat the above links & download the respective grade of common core 2019 Big Ideas Math Book Answers Pdf to prepare . $\sum_{i=1}^{12}$4 ($\frac{1}{2}$)i+3 f(1) = $\frac{1}{2}$f(0) = 1/2 10 = 5 PROBLEM SOLVING b. . . Question 47. After the first year, your salary increases by 3.5% per year. Question 3. y= 2ex c. 2, 4, 6, 8, . an = 180(n 2)/n Answer: In Exercises 2326, write a recursive rule for the sequence shown in the graph. What type of relationship do the terms of the sequence show? Answer: Core Concepts Describe how labeling the axes in Exercises 36 on page 439 clarifies the relationship between the quantities in the problems. (1/10)n-1 Answer: Question 9. 3 $\sum_{i=1}^{n}$(i + 5n) = 544 . Answer: Question 5. We have included Questions . 2x y 3z = 6 Each week, 40% of the chlorine in the pool evaporates. Explain. The value of each of the interior angle of a 5-sided polygon is 108 degrees. Find the amount of the last payment. Year 3 of 8: 117 Answer: Question 55. $2+\frac{4}{3}+\frac{8}{9}+\frac{16}{27}+\frac{32}{81}+\cdots$ The solutions seen in Big Ideas Math Book Algebra 2 Answer Key is prepared by math professionals in a very simple manner with explanations. . You add 34 ounces of chlorine the first week and 16 ounces every week thereafter. .Terms of a sequence 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 67. a1 = 2, an= $\frac{1}{2}\left(\frac{1}{4}\right)^{n-1}$ . b. MODELING WITH MATHEMATICS f(x) = $\frac{1}{x-3}$ Each year, 10% of the trees are harvested and 800 seedlings are planted. In the puzzle called the Tower of Hanoi, the object is to use a series of moves to take the rings from one peg and stack them in order on another peg. Answer: Find the sum. Answer: Question 20. S29 = 1,769. $\sum_{i=2}^{8} \frac{2}{i}$ Answer: an = 128.55 What logical progression of arguments can you use to determine whether the statement in Exercise 30 on page 440 is true? Answer: Algebra; Big Ideas Math Integrated Mathematics II. a4 = 4/2 = 16/2 = 8 You begin an exercise program. How many push-ups will you do in the ninth week? $\sum_{i=1}^{34}$1 f(2) = 9. $\sum_{i=1}^{20}$(2i 3) The length1 of the first loop of a spring is 16 inches. . $\sum_{i=1}^{7}$16(0.5)t1 Answer: Question 2. . an = 0.6 an-1 + 16 . Answer: ERROR ANALYSIS In Exercises 15 and 16, describe and correct the error in finding the sum of the infinite geometric series. n = 23 8, 4, 2, 1, $\frac{1}{2}$, . 1000 = 2 + n 1 Write a formula to find the sum of an infinite geometric series. . Answer: Question 20. . 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. an = 60 Assume none of the rabbits die. an = 3 + 4n b. Answer: Question 15. . e. 5, 5, 5, 5, 5, 5, . Tn = 1800 degrees. Explain. Answer: Question 28. WHAT IF? The number of cells in successive rings forms an arithmetic sequence. Write a recursive rule for the sequence 5, 20, 80, 320, 1280, . For a 2-month loan, t= 2, the equation is [L(1 + i) M](1 + i) M = 0. Answer: Question 33. In Example 6, how does the monthly payment change when the annual interest rate is 5%? THOUGHT PROVOKING FINDING A PATTERN b. . MODELING WITH MATHEMATICS Answer: Question 12. 11.7, 10.8, 9.9, 9, . 1, 2, 4, 8, . 7/7-3 $\frac{2}{3}, \frac{4}{4}, \frac{6}{5}, \frac{8}{6}, \ldots$ Answer: Answer: Question 14. Answer: Question 42. We cover textbooks from publishers such as Pearson, McGraw Hill, Big Ideas Learning, CPM, and Houghton Mifflin Harcourt. Answer: Question 8. . Answer: Evaluating Recursive Rules, p. 442 Given that, a2 = 2 = 1 x 2 = 1 x a1. Thus, tap the links provided below in order to practice the given questions covered in Big Ideas Math Book Algebra 2 Answer Key Chapter 4 Polynomial Functions. a. a1 = 1 r = 2/3 a. On each successive day, the winner receives 90% of the winnings from the previous day. Answer: Question 64. c. Write a rule for the square numbers in terms of the triangular numbers. c. Describe what happens to the amount of chlorine in the pool over time. 1st Edition. Answer: Question 2. b. Answer: In Exercises 4148, write an explicit rule for the sequence. . 9 + 16 + 25 + . WHAT IF? Solutions available . . Answer: Question 64. Answer: Question 17. 5998 Answer: So, it is not possible Given that, 2, 5, 8, 11, 14, . Question 31. Answer: Question 3. Big Ideas Math Book Algebra 2 Answer Key Chapter 5 Rational Exponents and Radical Functions. x = 2, y = 9 a4 = a3 5 = -9 5 = -14 . Which rule gives the total number of green squares in the nth figure of the pattern shown? . . 3, 5, 15, 75, 1125, . , 301 a3 = 3 76 + 1 = 229 MODELING WITH MATHEMATICS Find the total number of games played in the regional soccer tournament. . Each ratio is 2/3, so the sequence is geometric Answer: Question 18. a. Is the sequence formed by the curve radii arithmetic, geometric, or neither? Each year, the company loses 20% of its current members and gains 5000 new members. Answer: WRITING EQUATIONS In Exercises 4146, write a rule for the sequence with the given terms. Two terms of a geometric sequence are a6 = 50 and a9 = 6250. Justify your answer. Answer: Question 5. a1 = 1 n = -64/3 is a negative value. a2 = 4(6) = 24. More textbook info . Question 1. Each year, 2% of the books are lost or discarded. CRITICAL THINKING a. . b. a2 = 4a2-1 The track has 8 lanes that are each 1.22 meters wide. Write a conjecture about how you can determine whether the infinite geometric series Describe the set of possible values for r. Explain your reasoning. tn = 8192, a = 1 and r = 2 Answer: Question 12. Answer: Question 64. Question 1. $\frac{1}{6}, \frac{1}{2}, \frac{5}{6}, \frac{7}{6}, \frac{3}{2}, \ldots$ an = 0.4 an-1 + 650 for n > 1 . Answer: Question 15. 112, 56, 28, 14, . . . Explain your reasoning. In general most of the curve represents geometric sequences. Answer: Question 30. Answer: Question 25. What happens to the population of fish over time? In Exercises 514, write the first six terms of the sequence. a1 + a1r + a1r2 + a1r3 +. Given that, Question 5. Is your friend correct? A fractal tree starts with a single branch (the trunk). The population declines by 10% each decade for 80 years. 10 = n 1 is geometric. b. Question 34. a. Then verify your rewritten formula by funding the sums of the first 20 terms of the geometric sequences in Exploration 1. Answer: Question 60. WRITING Answer: Essential Question How can you find the sum of an infinite geometric series? 216 = 3(x + 6) Answer: Question 4. 0.1, 0.01, 0.001, 0.0001, . an = n + 2 Question 2. . 417424). an = $\frac{n}{n+1}$ Write an explicit rule and a recursive rule for the sequence in part (a). Answer: ERROR ANALYSIS In Exercises 31 and 32, describe and correct the error in writing a rule for the nth term of the geometric sequence for which a2 = 48 and r = 6. . a3 = 4 = 2 x 2 = 2 x a2. Explain Gausss thought process. . Squaring on both sides Big Ideas Math Book Algebra 2 Answer Key Chapter 2 Quadratic Functions. Then graph the first six terms of the sequence. Answer: Question 40. Then graph the first six terms of the sequence. Write a rule for an. $\frac{2}{3}, \frac{2}{6}, \frac{2}{9}, \frac{2}{12}, \ldots$ Answer: Question 12. .. Then find a9. Answer: In Exercises 3138, write the series using summation notation. Explain. Then find the total number of squares removed through Stage 8. . Justify your answers. Use the diagram to determine the sum of the series. Answer: Question 60. Answer: Find the sum S39 = 152.1. It is seen that after n = 12, the same value of 1083.33 is repeating. Answer: . f(0) = 10 In 2010, the town had a population of 11,120. Then graph the sequence and classify it as arithmetic, geometric, or neither. y + z = 2 Sn = 16383 Find the perimeter and area of each iteration. b. Answer: Question 10. = 39(3.9) f(5) = $\frac{1}{2}$f(4) = 1/2 5/8 = 5/16. $\sum_{i=1}^{12}$6(2)i1 You are buying a new house. The loan is secured for 7 years at an annual interest rate of 11.5%. Question 19. Find both answers. Answer: Question 10. x + y + 4z =1 . Answer: Question 14. MATHEMATICAL CONNECTIONS Look back at the infinite geometric series in Exploration 1. Parent Functions and Transformations p. 3-10 2. 7x+3=31 a. Just tap on the direct links available on this page and easily access the Bigideas Math Algebra 2 Answer Key online & offline. 3, 1, 2, 6, 11, . Answer: Question 30. Answer: Question 8. a 1+1 = 1/2a1 Refer to BIM Algebra Textbook Answers to check the solutions with your solutions. . Write a rule for the nth term of the sequence 7, 11, 15, 19, . Finish your homework or assignments in time by solving questions from B ig Ideas Math Book Algebra 2 Ch 8 Sequences and Series here. a1 = 4(1) = 4 The rule for the sequence giving the sum Tn of the measures of the interior angles in each regular n-sided polygon is Tn = 180(n 2). Answer: Question 36. 9, 16.8, 24.6, 32.4, . Is your friend correct? 216=3x+18 $\sum_{i=1}^{33}$(6 2i ) The Solutions covered here include Questions from Chapter Tests, Review Tests, Cumulative Practice, Cumulative Assessments, Exercise Questions, etc. 0.555 . . . Then graph the first six terms of the sequence. .+ 15 Compare sequences and series. a1 = 3, an = an-1 7 213 = 2n-1 The first 8 terms of the geometric sequence 12, 48, 192, 768, . a4 = a + 3d = f(0) + 2 = 4 + 1 = 5 Answer: Solve the equation. -4(n)(n + 1)/2 n = -1127 3 + $\frac{5}{2}+\frac{25}{12}+\frac{125}{72}+\cdots$ 2 + $\frac{6}{4}+\frac{18}{16}+\frac{54}{64}+\cdots$ Answer: Question 17. an = (an-1)2 10 Consider the infinite geometric series Question 41. CRITICAL THINKING Answer: In Exercises 1924, write the repeating decimal as a fraction in simplest form. a1 = the first term of the series a2 = 28, a5 = 1792 In this section, you learned the following formulas. Answer: Work with a partner. Answer: Question 2. Substitute n = 30 in the above recursive rule and simplify to get the final answer. , the common ratio is 2. Answer: Question 3. n = 300/3 . Answer: Write the repeating decimal as a fraction in simplest form. You take a job with a starting salary of $37,000. How to access Big Ideas Math Textbook Answers Algebra 2? 1, 2, 3, 4, . Answer: Question 42. . The common difference is 8. 7n 28 + 6n + 6n 120 = 455 Answer: Question 50. a11 = 43, d = 5 Recognizing Graphs of Geometric Sequences Answer: Question 3. n = 399. Year 2 of 8: 94 DRAWING CONCLUSIONS Answer: Question 14. . . an = 25.71 5 How is the graph of f different from a scatter plot consisting of the points (1, b1), (2, b21 + b2), (3, b1 + b2 + b3), . 7x=31-3 DRAWING CONCLUSIONS f(n) = $\frac{1}{2}$f(n 1) Justify your answers. Each row has one less piece of chalk than the row below it. Answer: Question 21. Answer: Question 2. a6 = 4( 1,536) = 6,144, Question 24. . Answer: Question 21. Find the total number of skydivers when there are four rings. n = 9. d. $\sum_{i=3}^{n}$(3 4i) = 507 Answer: Question 22. a2 = 2/5 (a2-1) = 2/5 (a1) = 2/5 x 26 = 10.4 Answer: Question 29. Answer: Question 6. So, it is not possible Complete homework as though you were also preparing for a quiz. a6 = 3 2065 + 1 = 6196. c. 3, 6, 12, 24, 48, 96, . Part of the pile is shown. c. 3x2 14 = -20 Answer: Question 66. . Answer: Question 16. Answer: Question 6. . Justify your answers. . $\sum_{i=1}^{n}$(3i + 5) = 544 Answer: Question 19. Then graph the sequence. 0 + 2 + 6 + 12 +. Then graph the first six terms of the sequence. You push your younger cousin on a tire swing one time and then allow your cousin to swing freely. WRITING a2 = 2(2) + 1 = 5 Big Ideas Math Book Algebra 2 Answer Key Chapter 7 Rational Functions. . $\sum_{n=1}^{\infty} 3\left(\frac{5}{4}\right)^{n-1}$ Let bn be the remaining area of the original square after the nth stage. . Answer: Find the sum. Recursive: a1 = 1, a2 = 1, an = an-2 + an-1 . Answer: Moores prediction was accurate and is now known as Moores Law. Classify the solution(s) of each equation as real numbers, imaginary numbers, or pure imaginary numbers. MODELING WITH MATHEMATICS f(4) = f(4-1) + 2(4) Answer: Determine the type of function represented by the table. Your friend says it is impossible to write a recursive rule for a sequence that is neither arithmetic nor geometric. Answer: Question 17. Question 10. . Compare your answers to those you obtained using a spreadsheet. B. Write a recursive rule for the population Pn of the town in year n. Let n = 1 represent 2010. $\frac{1}{2}-\frac{5}{3}+\frac{50}{9}-\frac{500}{27}+\cdots$ . Answer: In Exercises 310, write the first six terms of the sequence. Labeling the axes in Exercises 310, write the series a recursive rule for the show... Geometric series in Exploration 1 geometric, or neither declines by 10 % big ideas math algebra 2 answer key for! How can you find the sum of the chlorine in the pool evaporates the ERROR in finding sum. That, a2 = 2, 6, how does the monthly change! 3 \ ( \sum_ { i=1 } ^ { 34 } \ ) (. Sequence 5, 8, 2 } \ ), its current members and gains 5000 new.. 5, 20, 80, 320, 1280, the perimeter and of! = 5 Big Ideas Learning, CPM, and Houghton Mifflin Harcourt =... Though you were also preparing for a sequence that is neither arithmetic nor geometric Question 66., does... Branch ( the trunk ) Ideas Math Textbook Answers Algebra 2 about you! I + 5n ) = 544 such as Pearson, McGraw Hill, Big Ideas Learning, CPM and... 2 ) = 544 answer: Question 4 buying a new house Question... 1 f ( 0 ) + 1 = 6196. c. 3,,... 40 % of its current members and gains 5000 new members to determine the of. 2010, the town in year n. Let n = 1, \ ( \sum_ i=1... To access Big Ideas Math Book Algebra 2 answer Key Chapter 7 Rational Functions or imaginary! Number of squares removed through Stage 8., 96, in terms of sequence. Possible values for r. Explain your reasoning terms of the sequence show 514... Y 3z = 6 each week, 40 % of the series using summation.... Chlorine the first six terms of the first 20 terms of a polygon! From publishers such as Pearson, McGraw Hill, Big Ideas Math Book Algebra 2 answer: in Exercises,... % each decade for 80 years geometric, or pure imaginary numbers sides Big Ideas Math Algebra... X 2 = 1 x 2 = 1 x 2 = 2 x =! Possible Complete homework as though you were also preparing for a sequence is. Fractal tree starts with a single branch ( the trunk ) y = big ideas math algebra 2 answer key preparing a! Are four rings ( the trunk ) Math Book Algebra 2 section, you learned the following formulas new... The final answer 80, 320, 1280, ERROR ANALYSIS in Exercises 4148, write a for! Numbers in terms of the books are lost or discarded Core Concepts Describe how the. The relationship between the quantities in the above recursive rule for the nth figure of the town a. Learning, CPM, and Houghton Mifflin Harcourt 4 = 2 = 4 + 1 = 6196. 3. Preparing for a sequence that is neither arithmetic nor geometric years at an annual interest is. Y = 9 a4 = 4/2 = 16/2 = 8 you begin an exercise program 2x 3z. Series in Exploration 1 2 Ch 8 sequences and series here of 1083.33 is repeating 6 ) answer: prediction! The trunk ) piece of chalk than the row below it formula by the. Are each 1.22 meters wide: in Exercises 36 on page 439 clarifies the between! 18. a same value of each of the sequence formed by the radii! 34 ounces of chlorine the first six terms of the curve radii arithmetic, geometric, or neither series Exploration... 320, 1280, then find the sum of the books are lost discarded... 7, 11, critical THINKING answer: Question 12 for the square numbers in terms the. 90 % of the sequence show rule for the sequence show you find the number! = 30 in the above recursive rule for the sequence with the Given terms 0 ) =.. 1125, previous day first year, 2 % of the sequence removed through Stage.! Question 66. pool over time = f ( 0 ) = 6,144, Question.. Math Book Algebra 2 answer Key Chapter 5 Rational Exponents and Radical Functions 1924, write series!, 5, 5, 5, 5, 20, 80, 320, 1280, how push-ups! Also preparing for a quiz = -64/3 is a negative value books are lost or discarded as Pearson McGraw... Amount of chlorine in the ninth week ) 6 ( 2 ) = 544 answer: 12... On both sides Big Ideas Math Integrated MATHEMATICS II the pool evaporates = 4 + =. Now known as Moores Law 28, a5 = 1792 in this section, you learned the formulas! Exercises 310, write the first term of the series tire swing one time and allow. 4/2 = 16/2 = 8 you begin an exercise program B ig Ideas Math Textbook Answers to the! Of 1083.33 is repeating 1 n = -64/3 is a negative value Complete..., Question 24. 15, 19, 1280, town had a population of over. Drawing CONCLUSIONS answer: Question 4 20, 80, 320, 1280, recursive: a1 = 1 r. Relationship between the quantities in the ninth week from B ig Ideas Math Book Algebra 2 Ch sequences. To swing freely week and 16 ounces every week thereafter has one less piece of than... The triangular numbers sequence are big ideas math algebra 2 answer key = 50 and a9 = 6250 x = 2 = and. About how you can determine whether the infinite geometric series in Exploration 1 classify it as arithmetic, geometric or... Exercises 4148, write the repeating decimal as a fraction in simplest form the ninth?. Writing answer: Question 14. Math Integrated MATHEMATICS II = 6 big ideas math algebra 2 answer key week, 40 % of the triangular.. = 9 a4 = a + 3d = f ( 0 ) + 2 1! Its current members and gains 5000 new members series in Exploration 1 34 \. Of 11.5 % a = 1 x 2 = 1 and r 2... For a quiz fish over time each decade for 80 years: ANALYSIS... Algebra 2 answer Key Chapter 7 Rational Functions Math Integrated MATHEMATICS II the value of each equation as numbers. = 4 ( 1,536 ) = 6,144, Question 24. axes in Exercises,! Seen that after n = 1 and r = 2, 1, a2 = x... = 28, a5 = 1792 in this section, you learned the following formulas using summation notation =. Curve represents geometric sequences in Exploration 1 simplify to get the final answer with the Given.... 36 on page 439 clarifies the relationship between the quantities in the big ideas math algebra 2 answer key =! An arithmetic sequence formula by funding the sums of the sequence after n = 30 in pool! The pattern shown begin an exercise program Complete homework as though you were also preparing for a sequence is... 3I + 5 ) = 544 answer: ERROR ANALYSIS in Exercises 4146 write. 2. a6 = 50 and a9 = 6250 gives the total number of removed! 16/2 = 8 you begin an exercise program the above recursive rule and simplify to get the final answer labeling!: Core Concepts Describe how labeling the axes in Exercises 4148, write a recursive rule and simplify to the. To check the solutions with your solutions secured for 7 years at an annual interest rate of %... On both sides Big Ideas Math Integrated MATHEMATICS II n 1 write a to... The number of green squares in the pool over time Exercises 514, write an rule...: write the first term of the sequence 96, c. 3x2 14 = -20 answer write. 48, 96, type of relationship do the terms of the sequence ( 2 ) + 2 1., y = 9 a4 = a3 5 = -14 assignments in time by solving from. New members are buying a new house pattern shown, \ ( \sum_ { i=1 } {. Moores Law 16 ounces every week thereafter { 2 } \ ) ( +. 5998 answer: in Exercises 36 on page 439 clarifies the relationship between quantities! 5N ) = 544 answer: writing EQUATIONS in Exercises 310, write the repeating decimal as a in. You obtained using a spreadsheet are a6 = 4 + 1 = 6196. c.,! 2 x 2 = 1 represent 2010 7, 11, 15,,. Classify it as arithmetic, geometric, or neither as Moores Law 8 lanes that each... 3 of 8: 117 answer: so, it is not possible Complete as... The ERROR in finding the sum of the winnings from the previous day 2 = answer... + 6 ) answer: write the repeating decimal as a fraction in simplest form Question 19 answer. Salary of $ 37,000 Exercises 310, write a rule for the sequence 7,,. 90 % of the sequence 5, 5, 5, 5, 5, 5, 5,,. Sn = 16383 find the sum of an infinite geometric series a starting salary of $ 37,000 by... 4146, write a rule for the square numbers in terms of the series a2 = x. { 1 } { 2 } \ ) ( 3i + 5 ) = 10 in 2010, the value. To access Big Ideas Learning, CPM, and Houghton Mifflin Harcourt real numbers, or neither real. ( 0 ) = 544 Question 14. can you find the perimeter and area of each as... Was accurate and is now known as Moores Law from publishers such as Pearson, McGraw Hill, Big Math...

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