Suppose b1, b2, b3,... is a sequence defined as follows: b1 = 4, b2 = 12 bk = bk2 + bk1
Chapter 5, Problem 2(choose chapter or problem)
Suppose \(b_{1}, b_{2}, b_{3}\), . . . is a sequence defined as follows:
\(b_{1} = 4, b_{2} = 12\)
\(b_{k} = b_{k−2} + b_{k−1}\) for all integers k ≥ 3.
Prove that bn is divisible by 4 for all integers n ≥ 1.
Text Transcription:
b_1, b_2, b_3
b_1 = 4, b_2 = 12
b_k = b_k−2 + b_k−1
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