Question: Let Fi be the Fibonacci numbers as defined in Section 1.2. Prove the following: a. N2i=1 Fi = FN 2 b. FN < N,

Let Fi be the Fibonacci numbers as defined in Section 1.2. Prove the following:

a. ΣN−2i=1 Fi = FN − 2

b. FN < ϕN, with ϕ = (1 + √5)/2

c. Give a precise closed-form expression for FN.

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