For all positive integers n, 1.1!+2.2!+3.3!+...+n⋅n! = (n+1)!−1.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.1: Exponents
Problem 36OE
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Prove the following using the first principle of mathematical induction:

For all positive integers n, 1.1!+2.2!+3.3!+...+n⋅n! = (n+1)!−1.
Transcribed Image Text:For all positive integers n, 1.1!+2.2!+3.3!+...+n⋅n! = (n+1)!−1.
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