Suppose that c0, c1, c2,... is a sequence defined as follows: c0 = 2, c1 = 2, c2 = 6, ck
Chapter 5, Problem 3(choose chapter or problem)
Suppose that \(c_{0}, c_{1}, c_{2}\), . . . is a sequence defined as follows:
\(c_{0} = 2, c_{1} = 2, c_{2} = 6,\)
\(c_{k} = 3c_{k−3}\) for all integers k ≥ 3.
Prove that \(c_{n}\) is even for all integers n ≥ 0.
Text Transcription:
c_0, c_1, c_2
c_0 = 2, c_1 = 2, c_2 = 6,
c_k = 3c_k−3
c_n
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