(a) 1·1! +2·2! + . . . + n •n! = (n + 1)! − 1 - (b) if n > 6, then 3″

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 14E
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3. Use induction to show that for all positive integers n.

 

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(a) 1.1! +2.2! + ... +n·n! = (n + 1)! - 1
(b) if n > 6, then 3" <n!
Transcribed Image Text:(a) 1.1! +2.2! + ... +n·n! = (n + 1)! - 1 (b) if n > 6, then 3" <n!
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