п(3п - 1) (b) (3i – 2) = (for n > 1). - i=1 (0) II (- n+1 (for n 2 2). i2 2n i=2
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
4.6.11
Parts b and c
Transcribed Image Text:II
ak
(d) ak
bk
assuming that b
k%3D1
k=1
4.6.11. Prove the following identities.
n + 2
(a)
%3D2-
22
(for n > 1).
2n
i=1
п(Зп — 1)
-
(b) (3і - 2) —
(for n > 1).
2
i=1
n+1
(e) II (1
(for n 2 2).
2n
i=2
4.6.12. Let P(1), P(2), ... be a sequence of statements. Wi
page 92), for proving that P(n) is true for...
(a) all n's which are a multiple of 3.
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