Answer: In each of 4349 a sequence is defined recursively. (a) Use iteration to guess an
Chapter 5, Problem 49(choose chapter or problem)
In each of 43–49 a sequence is defined recursively. (a) Use iteration to guess an explicit formula for the sequence. (b) Use strong mathematical induction to verify that the formula of part (a) is correct.
\(u_{k} = u_{k−2} \cdot u_{k−1}\), for all integers k ≥ 2,
\(u_{0} = u_{1} = 2\).
Text Transcription:
u_k = u_k−2 cdot u_k−1
u_0 = u_1 = 2
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