Suppose that c0, c1, c2, ... is a sequence defined as

Chapter 5, Problem 3E

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Problem 3E

Suppose that c0, c1, c2, ... is a sequence defined as follows:

c0 = 2, c1 = 2, c2 = 6,

ck = 3ck–3 for all integers k ≥ 3.

Prove that cn is even for all integers n ≥ 0.

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