1 for convergence, you can use the P-test. (You k2 k=1 To test the series could also use the Integral Test, as is the case with all series of this type.) According to the P-test: 00 1 the P-test does not apply to k2 k=1 1 diverges k2 k=1 1 converges k2 k=1 1 Now compute s3, the partial sum consisting of the first 3 terms of k2 * k=1 S3
1 for convergence, you can use the P-test. (You k2 k=1 To test the series could also use the Integral Test, as is the case with all series of this type.) According to the P-test: 00 1 the P-test does not apply to k2 k=1 1 diverges k2 k=1 1 converges k2 k=1 1 Now compute s3, the partial sum consisting of the first 3 terms of k2 * k=1 S3
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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