Thread: Fibonacci 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

I would begin with:

(1)

(2)

Now, solve (2) for and substitute into (1), then solve for .

Thankyou so much.