Prove that 1 +2 + 22 + 23 +. + 2" = 2n+1-1 for n2 1. Use proof by induction.

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 26E: Prove by induction that n2n.
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 1 + 2 + 2^2 + 2^3 + . . . . + 2^n = 2^n+1 - 1 for n less than equal 1. Use proof by induction. See image below for real question

Prove that 1+2+22 + 23 +
+ 2" = 2n+1-1 for n 2 1. Use proof by induction.
Transcribed Image Text:Prove that 1+2+22 + 23 + + 2" = 2n+1-1 for n 2 1. Use proof by induction.
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