(b) By using mathematical induction, show that n(n + 1)(n + 2)(n + 3) 1.2.3+ 2.3.4 + ...+ n(n + 1)(n + 2) = 4 for all positive integers n.
(b) By using mathematical induction, show that n(n + 1)(n + 2)(n + 3) 1.2.3+ 2.3.4 + ...+ n(n + 1)(n + 2) = 4 for all positive integers n.
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:(b) By using mathematical induction, show that
n(n + 1)(n + 2)(n + 3)
1.2.3 + 2·3·4 + ... + n(n + 1)(n + 2) =
4
for all positive integers n.
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