To test the series for convergence, you can use the P-test. (You could also use the Integral Test, as is the case with all series of this type.) According to the P-test: Σ 1 diverges k=1 Vk4 1 O the P-test does not apply to k=1 00 1 converges k=1 00 1 Now compute 83, the partial sum consisting of the first 3 terms of k=1 83

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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To test the series
for convergence, you can use the P-test. (You could also use the Integral Test,
as is the case with all series of this type.) According to the P-test:
Σ
1
diverges
k=1 Vk4
1
O the P-test does not apply to
k=1
00
1
converges
k=1
00
1
Now compute 83, the partial sum consisting of the first 3 terms of
k=1
83
Transcribed Image Text:To test the series for convergence, you can use the P-test. (You could also use the Integral Test, as is the case with all series of this type.) According to the P-test: Σ 1 diverges k=1 Vk4 1 O the P-test does not apply to k=1 00 1 converges k=1 00 1 Now compute 83, the partial sum consisting of the first 3 terms of k=1 83
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