3. For each of the following series, if it converges, find the sum. ∞ (a) (c) n=1 (-4)n+2 5n-1 n² + n (b) 2010+5 -2.5 +1.25 -0 (d) 4 n² + 4n+ 3
3. For each of the following series, if it converges, find the sum. ∞ (a) (c) n=1 (-4)n+2 5n-1 n² + n (b) 2010+5 -2.5 +1.25 -0 (d) 4 n² + 4n+ 3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. For each of the following series, if it converges, find the sum.
(a) \(\sum_{n=1}^{\infty} \frac{(-4)^{n+2}}{5^{n-1}}\)
(b) \(20 - 10 + 5 - 2.5 + 1.25 - 0.625 + \ldots\)
(c) \(\sum_{n=1}^{\infty} \frac{1}{n^2 + n}\)
(d) \(\sum_{n=0}^{\infty} \frac{4}{n^2 + 4n + 3}\)
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