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

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Refer to image below to prove by Induction

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.
Expert Solution
Step 1

Given 

1+2+22+23 + . . . + 2n = 2n+1-1 for n1.

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