1 2n 4. Let an = 27-1-2 The convergence (or divergence) of the resulting series, Σn=1 an can be determined by considering it as either a telescoping series or as a geometric series. (a) Determine the convergence (or divergence) of this series by examining it as a telescoping series. (b) Determine the convergence (or divergence) of this series by examining it as a geometric series.
1 2n 4. Let an = 27-1-2 The convergence (or divergence) of the resulting series, Σn=1 an can be determined by considering it as either a telescoping series or as a geometric series. (a) Determine the convergence (or divergence) of this series by examining it as a telescoping series. (b) Determine the convergence (or divergence) of this series by examining it as a geometric series.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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Please solve this calc question asap
![1
1
4. Let an =
The convergence (or divergence) of the resulting series, n=1an can be
2n-1 2n
determined by considering it as either a telescoping series or as a geometric series.
(a) Determine the convergence (or divergence) of this series by examining it as a telescoping series.
(b) Determine the convergence (or divergence) of this series by examining it as a geometric series.
(c) Are the results of parts (a) and (b) different or the same? Does this make sense or not? Explain.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8949a7e3-e460-4948-a03c-2b9e53d9f981%2F46abf3e0-ef6a-4030-96fe-258817bb2912%2Fd68a9dq_processed.png&w=3840&q=75)
Transcribed Image Text:1
1
4. Let an =
The convergence (or divergence) of the resulting series, n=1an can be
2n-1 2n
determined by considering it as either a telescoping series or as a geometric series.
(a) Determine the convergence (or divergence) of this series by examining it as a telescoping series.
(b) Determine the convergence (or divergence) of this series by examining it as a geometric series.
(c) Are the results of parts (a) and (b) different or the same? Does this make sense or not? Explain.
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