Prove the following identity:

(F(n+1))^2 - (F(n))^2 = F(n-1)F(n+2)

I am trying to do this with induction, and I am stuck!

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- February 4th 2011, 04:58 PMveronicak5678Fibonacci Proof
Prove the following identity:

(F(n+1))^2 - (F(n))^2 = F(n-1)F(n+2)

I am trying to do this with induction, and I am stuck! - February 4th 2011, 11:15 PMDrexel28
- February 5th 2011, 02:47 AMArchie Meade