» (6)- (:) + (2) ---» :) - (3) n n +(-1)" (" ). = 0. с) + 3 n +...+n = n2"-1.

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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Question

For n>=1, derive each identities below: 

» (;) - (:) + (2)-- +-»r (:) -
(1) +2(:) +*(;)
n
n
(b)
n
+(-1)"
= 0.
n
(c)
n
n
+...+n
3
n
= n2"-1.
п
Transcribed Image Text:» (;) - (:) + (2)-- +-»r (:) - (1) +2(:) +*(;) n n (b) n +(-1)" = 0. n (c) n n +...+n 3 n = n2"-1. п
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