The Fibonacci sequence (fa)-1,1,2, 3, 5, 8, 13, 21, is defined recursively by fatt-fa fa-t for all n > 2, where fi-fa-1. In each case, use complete induction (with a-1, 6-2) to prove the given statement. (a) Prove that fa<2ª for all integers n>1.

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