Prove that 1+ 2 + 22 + 23 +. + 2" = 2n+1-1 for n 2 1. Use proof by induction.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 26E: Prove by induction that n2n.
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1 + 2 + 22 + 23 + . . . . + 2^7= 2^n+1 - 1 for n less than = 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F181283bb-83dc-4f09-86f1-fac04e6d4723%2F0419d8c7-393e-4d83-97b2-df500f6bd596%2F94svw5m_processed.jpeg&w=3840&q=75)
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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