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)
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ISBN:9780134463216
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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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How do you answer 39 and 41?

(This is not graded but, rather, an exercise to achieve acquisition).

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
Transcribed Image Text: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
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