Suppose a1, a2, a3,... is a sequence defined as follows: a1 = 1, a2 = 3, ak = ak2 + 2ak1
Chapter 5, Problem 1(choose chapter or problem)
Suppose \(a_{1}, a_{2}, a_{3}\), . . . is a sequence defined as follows:
\(a_{1} = 1, a_{2} = 3,\)
\(a_{k} = a_{k−2} + 2a_{k−1}\) for all integers k ≥ 3.
Prove that an is odd for all integers n ≥ 1.
Text Transcription:
a_1, a_2, a_3
a_1 = 1, a_2 = 3
a_k = a_k−2 + 2a_k−1
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