To test the series is the case with all series of this type.) According to the P-test: 1 diverges √k3 1 for convergence, you can use the P-test. (You could also use the Integral Test, √k3 the P-test does not apply to 1 √k3 83= converges 8 k=1 1 √k3 Now compute 83, the partial sum consisting of the first 3 terms of 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 49E
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To test the series
is the case with all series of this type.) According to the P-test:
diverges
O
k=1
k=1
1
√k³
k3
the P-test does not apply to
1
for convergence, you can use the P-test. (You could also use the Integral Test, as
√k3
k=1
83
1
√√k3
Add Work
converges
8
k=
Now compute s3, the partial sum consisting of the first 3 terms of
k3
√ks
3
Transcribed Image Text:To test the series is the case with all series of this type.) According to the P-test: diverges O k=1 k=1 1 √k³ k3 the P-test does not apply to 1 for convergence, you can use the P-test. (You could also use the Integral Test, as √k3 k=1 83 1 √√k3 Add Work converges 8 k= Now compute s3, the partial sum consisting of the first 3 terms of k3 √ks 3
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