By using the sum of partial fractions find the sum of the first n terms of the following series 1. 1 1 1 1-3-5 3575 (a) 5-7-9 (2n +1)(2+3) 1 (b) 1-2-3-4 +. 3-4-5-6 2-3-4.5 3(n+1)(n+ 2)(n +3) 18
By using the sum of partial fractions find the sum of the first n terms of the following series 1. 1 1 1 1-3-5 3575 (a) 5-7-9 (2n +1)(2+3) 1 (b) 1-2-3-4 +. 3-4-5-6 2-3-4.5 3(n+1)(n+ 2)(n +3) 18
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. By using the sum of partial fractions find the sum of the first n terms of the following series
1.
(a)
1-3-5
1
+.
5-7-9
+.
3-5-7
4.
(2n +1)(2 +3)
1
(b)
1.2.3-4
+.
3 4.5-6
3(n+1)(n+ 2)(n+3)"
2-3-4-5
18
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