Question: (a) Evaluate F2n+1 - FnFn+l - F2n for n = 0, 1, 2, 3. (b) From the results in part (a), conjecture a formula for

(a) Evaluate F2n+1 - FnFn+l - F2n for n = 0, 1, 2, 3.
(b) From the results in part (a), conjecture a formula for F2n+l - FnFn+l-F2n for n ∈ N.
(c) Establish the conjecture in part (b) using the Principle of Mathematical Induction.

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a n 0 F 2 1 F 0 F 1 F 2 0 l 2 0 1 0 2 1 n 1 F 2 2 F 1 F 2 F 2 1 l 3 1 1 l 2 1 n 2 ... View full answer

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