Hi can anyone explain how i can get express Fn+3 in terms of Fn+2 and Fn to show that Fn+2 = 1/2(Fn+3 + Fn). Any help is much appreciated

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- Nov 3rd 2012, 11:14 AMTABASSUMFibonacci sequence
Hi can anyone explain how i can get express Fn+3 in terms of Fn+2 and Fn to show that Fn+2 = 1/2(Fn+3 + Fn). Any help is much appreciated

- Nov 3rd 2012, 12:21 PMMarkFLRe: Fibonacci sequence
I would begin with:

(1)

(2)

Now, solve (2) for and substitute into (1), then solve for . - Nov 3rd 2012, 03:57 PMTABASSUMRe: Fibonacci sequence
Thankyou so much.