Use induction to show that for all positive integers n (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
Section10.4: Mathematical Induction
Problem 9E
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Use induction to show that for all positive integers n

Use induction to show that for all positive integers n
(a) 1·1! +2·2! + . . . + n • n! = (n + 1)!−1
(b) if n > 6, then 3" <n!
Transcribed Image Text:Use induction to show that for all positive integers n (a) 1·1! +2·2! + . . . + n • n! = (n + 1)!−1 (b) if n > 6, then 3" <n!
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