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

Show that for all n greater than 1:

f_{n}= [itex]\frac{1}{\sqrt{5}}[/itex]{([itex]\frac{1+\sqrt{5}}{2}[/itex])^{n}- ([itex]\frac{1-\sqrt{5}}{2}[/itex])^{n}}

2. Relevant equations

f_{1}= f_{2}= 1

f_{n+2}= f_{n+1}+ f_{n}

3. The attempt at a solution

I'm pretty sure it's by induction, but I'm not sure how to start.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Fibonacci Sequence Induction Problem

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