51. Determine whether the infinite geometric series has a finite sum. If so, find the sum 2 k=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 46E
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51. Determine whether the infinite geometric series has a finite sum. If so, find the sum
2
k=1
Transcribed Image Text:51. Determine whether the infinite geometric series has a finite sum. If so, find the sum 2 k=1
Expert Solution
Step 1
Find the sum of the geometric series,
ar
For the infinite geometric series with <1, Yar*:
1-r
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