Solved: A sequence b0, b1, b2,... is defined by letting b0 = 5 and bk = 4 + bk1 for all

Chapter 5, Problem 26

(choose chapter or problem)

A sequence \(c_{0}, c_{1}, c_{2}\), . . . is defined by letting \(c_{0} = 3\) and \(c_{k} = (c_{k−1})^{2}\) for all integers k ≥ 1. Show that \(c_{n} = 3^{2^{n}}\) for all integers n ≥ 0.

Text Transcription:

c_0, c_1, c_2

c_0 = 3

c_k = (c_k−1)^2

c_n = 3^2^n

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