(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Define the numbers a(0),a(1),a(2),...by a(0)=1, a(1)=3, a(n)=4[a(n-1) - a(n-2)]. for n>=2

Show by induction that for all n>=1, a(n)=2^(n-1) [n+2]

2. Relevant equations

3. The attempt at a solution

proof by induction is not my stong point, and i really don't know where to start on this question. Any help would be much appreciated!

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# Homework Help: Proof by induction

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