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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I would begin with: (1) $\displaystyle F_{n+2}=F_{n+1}+F_{n}$ (2) $\displaystyle F_{n+3}=F_{n+2}+F_{n+1}$ Now, solve (2) for $\displaystyle F_{n+1}$ and substitute into (1), then solve for $\displaystyle F_{n+2}$.
Thankyou so much.
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