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"
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!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56ce8921-7690-4e18-b5ec-abc85f85c6ea%2F203f8ae5-dacc-43be-8123-d262c4f79fe4%2Fixsc4t_processed.png&w=3840&q=75)
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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