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To test the series for convergence, you can use the P-test. (You could also use the Integral Test, √k5 as is the case with all series of this type.) According to the P-test: 1 √ks converges 85 = diverges O the P-test does not apply to √k5 Now compute 85, the partial sum consisting of the first 5 terms of IM8 -3

To test the series for convergence, you can use the P-test. (You could also use the Integral Test, √k5 as is the case with all series of this type.) According to the P-test: 1 √ks converges 85 = diverges O the P-test does not apply to √k5 Now compute 85, the partial sum consisting of the first 5 terms of IM8 -3

Algebra & Trigonometry with Analytic Geometry
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, √k5 as is the case with all series of this type.) According to the P-test: 1 √k5 converges 85 diverges k1 √k5 O the P-test does not apply to Σ k5 Now compute 85, the partial sum consisting of the first 5 terms of k√k5
Transcribed Image Text:To test the series for convergence, you can use the P-test. (You could also use the Integral Test, √k5 as is the case with all series of this type.) According to the P-test: 1 √k5 converges 85 diverges k1 √k5 O the P-test does not apply to Σ k5 Now compute 85, the partial sum consisting of the first 5 terms of k√k5
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