9.3 Geometric Sequences and Series 635 See CalcChat.com for tutorial help and worked-out solutions to odd-numbered exercises. S. en the ratios of consecutive terms are the same. This ratio is the ence has the form a ratio. %3D п c sequence with common ratio r + 1 is given by S, nfinite geometric sequence is called a ether a Sequence Is ercises 5-12, determine e is geometric. If so, find 35. 9, 18, 36, . . . 36.5, - 10, 20, . . . 37. 6, -9,,. 27 38. 80, - 40, 20, . . . Finding a Term of a Geometric Sequence In Exercises 39-46, find the specified term of the geometric sequence. 6. 5, 10, 15, 20, . . 8. 27, -9, 3, -1,. . . 39, 8th term: 6, 18, 54, . 0.5, 1, 0.2, 0.04, . . . 40. 7th term: 5, 20, 80, . . 4 8 16 2. 2, V3 3'3/3 -1 1 41, 9th term: 6 12 • 39 3 42. 8th term: , - 1,. 9 39 27 ns of a Geometric rcises 13-22, write the geometric sequence. 43. az: a1 44. a1: a, = 3, as = 46. a5: az = 2, a, = -/2 16, a4 %3D %3D %3D 64 4 -18, a7 45. a6: a4 45. ag: a, = - 18, a, = Matching a Geometric Sequence with Its Graph In Exercises 47-50, match the geometric sequence with its graph. [The graphs are labeled (a), (b), (c), and (d).] 7,7 4 4. a ENPARIAS 6, r 3. a1 5. a1 2, R (b) an (a) D. a, = 4, r = -1//2 2. a, = 4, r = x/5 750- 20 600 16 450 12 300 of a Geometric 8. rcises 23-32, write an a term of the geometric he missing term. 150 4 -2 t 2 4 6 8 10 8 10 t 2 4 6 An (d) An (c) 400 18 200 12 8 10 2 -200 -400 8 10 -2 I 2 -600 - 12 18(-)"- 18(-3)"-| In-1 47. a, = 18()"- 18(6)*-1 48. an n-1 %3D %3D n-1 50. an 49. an A Graphing the Terms of a Sequence In Exercises 51-54, use a graphing utility to graph the first 10 terms लेलात
9.3 Geometric Sequences and Series 635 See CalcChat.com for tutorial help and worked-out solutions to odd-numbered exercises. S. en the ratios of consecutive terms are the same. This ratio is the ence has the form a ratio. %3D п c sequence with common ratio r + 1 is given by S, nfinite geometric sequence is called a ether a Sequence Is ercises 5-12, determine e is geometric. If so, find 35. 9, 18, 36, . . . 36.5, - 10, 20, . . . 37. 6, -9,,. 27 38. 80, - 40, 20, . . . Finding a Term of a Geometric Sequence In Exercises 39-46, find the specified term of the geometric sequence. 6. 5, 10, 15, 20, . . 8. 27, -9, 3, -1,. . . 39, 8th term: 6, 18, 54, . 0.5, 1, 0.2, 0.04, . . . 40. 7th term: 5, 20, 80, . . 4 8 16 2. 2, V3 3'3/3 -1 1 41, 9th term: 6 12 • 39 3 42. 8th term: , - 1,. 9 39 27 ns of a Geometric rcises 13-22, write the geometric sequence. 43. az: a1 44. a1: a, = 3, as = 46. a5: az = 2, a, = -/2 16, a4 %3D %3D %3D 64 4 -18, a7 45. a6: a4 45. ag: a, = - 18, a, = Matching a Geometric Sequence with Its Graph In Exercises 47-50, match the geometric sequence with its graph. [The graphs are labeled (a), (b), (c), and (d).] 7,7 4 4. a ENPARIAS 6, r 3. a1 5. a1 2, R (b) an (a) D. a, = 4, r = -1//2 2. a, = 4, r = x/5 750- 20 600 16 450 12 300 of a Geometric 8. rcises 23-32, write an a term of the geometric he missing term. 150 4 -2 t 2 4 6 8 10 8 10 t 2 4 6 An (d) An (c) 400 18 200 12 8 10 2 -200 -400 8 10 -2 I 2 -600 - 12 18(-)"- 18(-3)"-| In-1 47. a, = 18()"- 18(6)*-1 48. an n-1 %3D %3D n-1 50. an 49. an A Graphing the Terms of a Sequence In Exercises 51-54, use a graphing utility to graph the first 10 terms लेलात
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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