In each of 315 a sequence is defined recursively. Use iteration to guess an explicit

Chapter 5, Problem 10

(choose chapter or problem)

In each of 3–15 a sequence is defined recursively. Use iteration to guess an explicit formula for the sequence. Use the formulas from Section 5.2 to simplify your answers whenever possible.

\(h_{k} = 2^{k} − h_{k−1}\), for all integers k ≥ 1

\(h_{0} = 1\)

Text Transcription:

h_k = 2^k − h_k−1

h_0 = 1

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