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1.1! +2.2!+3·3! ++n・n! = (n + 1)! −1 for all n ≥ 1.

1.1! +2.2!+3·3! ++n・n! = (n + 1)! −1 for all n ≥ 1.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 43E
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Suppose you wish to use mathematical induction to prove that:

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answer the following:

(c) Write P(k).
(d) Write P(k + 1).
(e) Use mathematical induction to prove that P(n) is true for all n ≥ 1

1.1!+2.2!+3·3! ++n・n! = (n + 1)! - 1 for all n ≥ 1.
Transcribed Image Text:1.1!+2.2!+3·3! ++n・n! = (n + 1)! - 1 for all n ≥ 1.
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