55-60 - Infinite Geometric Series Determine whether the infi- nite geometric series is convergent or divergent. If it is conver- gent, find its sum. 55. 1-+ - * + -.. 56. 0.1 + 0.01 + 0.001 + 0.0001 + -.. 57. 5 – 5(1.01) + 5(1.01)² – 5(1.01) + 1 58. 1 + 3/2 3 33/2 59. -1 8. 60. a + ab? + ab* + ab" + ·... b| <1

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter13: Sequences And Series
Section13.CR: Chapter Review
Problem 56E
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55-60 - Infinite Geometric Series Determine whether the infi-
nite geometric series is convergent or divergent. If it is conver-
gent, find its sum.
55. 1-+ -
* + -..
56. 0.1 + 0.01 + 0.001 + 0.0001 + -..
57. 5 – 5(1.01) + 5(1.01)² – 5(1.01) +
1
58. 1 +
3/2
3
33/2
59. -1
8.
60. a + ab? + ab* + ab" + ·... b| <1
Transcribed Image Text:55-60 - Infinite Geometric Series Determine whether the infi- nite geometric series is convergent or divergent. If it is conver- gent, find its sum. 55. 1-+ - * + -.. 56. 0.1 + 0.01 + 0.001 + 0.0001 + -.. 57. 5 – 5(1.01) + 5(1.01)² – 5(1.01) + 1 58. 1 + 3/2 3 33/2 59. -1 8. 60. a + ab? + ab* + ab" + ·... b| <1
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