Use induction to prove for all n eN that 2* = 2"+1 – 1. %3D k=0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:%3D
2.
Use induction to prove for all n e N that ) 2k = 2"+1 – 1.
k=0
3.
Prove that 7n -1 is a multiple of 6 for all n e N.
4.
Prove that 1+3+5++ (2n – 1) = n² for all n 2 1.
...
F2n+1 -1 where F, is the nth
%3D
5.
Prove that Fo+ F2 + F4 + F2n
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