1. Assume that the n'th term in the sequence of partial sums for the series E=0 an is given below. Determine if the series E-o an is convergent or divergent. If the series is convergent determine the value of the series. 5+ 8n² Sn 2– 7n2 2. Determine if the series is convergent or divergent using Ratio test. (-10)" 42n+1 (n + 1) n=1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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EXERCISE
1. Assume that the nth term in the sequence of partial sums for the series E-o a, is given below.
Determine if the series E-o an is convergent or divergent. If the series is convergent determine the
value of the series.
5+ 8n?
Sn
2- 7n2
2. Determine if the series is convergent or divergent using Ratio test.
Σ
(-10)"
42n+1 (n + 1)
n
n=1
Transcribed Image Text:EXERCISE 1. Assume that the nth term in the sequence of partial sums for the series E-o a, is given below. Determine if the series E-o an is convergent or divergent. If the series is convergent determine the value of the series. 5+ 8n? Sn 2- 7n2 2. Determine if the series is convergent or divergent using Ratio test. Σ (-10)" 42n+1 (n + 1) n n=1
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