Problem

The powers of a function f: A → A are defined recursively byLet ƒ1. ƒ2, f3,… be the terms...

The powers of a function f: A → A are defined recursively by

Let ƒ1. ƒ2, f3,… be the terms of the Fibonacci sequence as defined in 5.2.3. Prove that for all n ≥ 3. (You will need the strong form of the Principle of Mathematical Induction.)

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Solutions For Problems in Chapter 5.2

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