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f:N->N f(1)=3 and f(2)=5 and for each n>2, f(n)=f(n-1)+f(n-2). Please prove that for each n in...

f:N->N

f(1)=3 and f(2)=5 and for each n>2, f(n)=f(n-1)+f(n-2).

Please prove that for each n in N, f(n)*f(n+2)=(f(n+1))^2+(-1)^(n) using induction.

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