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п(3п - 1) (b) (3i – 2) = (for n > 1). - i=1 (0) II (- n+1 (for n 2 2). i2 2n i=2

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
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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4.6.11 Parts b and c
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.
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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