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

Chapter 5, Problem 14

(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.

\(x_{k} = 3x_{k−1} + k\), for all integers k ≥ 2

\(x_{1} = 1\)

Text Transcription:

x_k = 3x_k−1 + k

x_1 = 1

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