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[14 pts] (Induction with Fibonacci) Recall the Fibonacci sequence given by the recurrence Fn = Fn-1 + Fn-2 for n > 2 along with initial
[14 pts] (Induction with Fibonacci) Recall the Fibonacci sequence given by the recurrence Fn = Fn-1 + Fn-2 for n > 2 along with initial terms Fo = 0, F1 = 1. Use mathematical induction to prove that for n > 1, FnFn+2 = F2+1 +(-1)
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