For the Fibonacci sequence, f0 = f1 = 1 and fn+1 = fn + fn−1 for...

For the Fibonacci sequence, f₀ = f₁ = 1 and f_n+1 = f_n + f_n−1 for all n > 1. Prove using induction: f_n+1f_n−1 − f²_n = (−1)ⁿ.

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Colby Messinger answered 1 year ago

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