Problem

The powers of a function f: A → A are defined recursively byLet ƒ1 = f2 = 1, fk = fk−1 + f...

The powers of a function f: AA are defined recursively by

Let ƒ1 = f2 = 1, fk = fk1 + fk2 for k > 2 be the Fibonacci sequence. Which terms of this sequence are even? Prove your answer.

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