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Fibonacci related Proof

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Can you give me any tips of how to begin this proof using the Fibonacci sequence?

Fn-1Fn+1 - Fn2 = (-1)n , where Fibonacci numbers can be calculated by F= Fn-1 + Fn-2 

If I let n= k+1 then, but 

FFk+2 - Fk+1= (-1)k+1

If k = 0 ,   0x1  - 1=  -1  (true) , but how do I take it further. 

Edited by psyclones
found error in equ

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