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Let F(n) be the Fibonacci sequence. Prove using induction: - F(i) = F(n + 2) - 1 for all n>0. (The sum of the first

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Let F(n) be the Fibonacci sequence. Prove using induction: - F(i) = F(n + 2) - 1 for all n>0. (The sum of the first n Fibonacci numbers is equal to F(n + 2) - 1. Use F(1) = F(2) = 1.)

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