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(b) Consider the infinite sequence of integers fo, fi, f2, ..., defined by fo 1, fi 2 and 2, Use induction on n to prove

(b) Consider the infinite sequence of integers fo, fi, f2, ..., defined by fo 1, fi 2 and 2, Use induction on n to prove that fn > ( ) for all In = fn-1 + fn-2 for all n n 2 1. (20 points)

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