Let the Fibonacci sequence be defined by F0 = 0, F1 = 1 and Fn =...

Let the Fibonacci sequence be defined by F0 = 0, F1 = 1 and Fn = Fn−1 + Fn−2 for n ≥ 2.

Use induciton to prove that F0F1 + F1F2 + · · · + F2n−1 F2n = F^2 2n for all positive integer n.

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Colby Messinger answered 1 hour ago

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