Suppose aj, a2, a3, ... is a sequence defined as

Chapter 5, Problem 1E

(choose chapter or problem)

Suppose aj, a2, a3, ... is a sequence defined as follows:a1 = 1, a2 = 3,ak = ak–2 + 2ak–1 for all integers k ?3.Prove that an is odd for all integers n ?1.

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