Use induction to prove that n! > 2n for n 4. Let {Fn} be the Fibonacci sequence, defined

Chapter 0, Problem 6

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Use induction to prove that n! > 2n for n 4. Let {Fn} be the Fibonacci sequence, defined by the recursion formula Fn = Fn1 + Fn2, F1 = F2 = 1 The first few terms are 1, 1, 2, 3, 5, 8, 13,..

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