Basically my problem comes down to an algebra thing. This is a proofs class and I'm trying to show using strong induction that the fionacci numbers to the nth power can be given by the formula(adsbygoogle = window.adsbygoogle || []).push({});

1 / Radical (5) [ (1+Rad(5) / 2) ^ n - (1-Rad(5) / 2) ^ n.

My problem comes down to the induction step.. after substiting the assumed for f(n) and f(n-1) and adding those to equal f(n+1) I have no clue how to get the equation given by f(n) + f(n-1) represent the above witn n+1 as the powers instead of n. Any help here would be greatly appreciated.

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# Homework Help: Fibonacci Number Crunch

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