Prove that for every positive integer n, 72 Σκ2* = (n – 1)2"+1 - k=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 17E
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Prove that for every positive integer n,
k=1
k2k = (n − 1)2n+1
Show Transcribed Text
PROOF IT BY MATHEMATICAL
INDUCTION ONLY
Transcribed Image Text:Prove that for every positive integer n, k=1 k2k = (n − 1)2n+1 Show Transcribed Text PROOF IT BY MATHEMATICAL INDUCTION ONLY
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