A sequence a1, a2, a3,... is defined by letting a1 = 3 and ak = 7ak1 for all integers k
Chapter 5, Problem 24(choose chapter or problem)
A sequence \(a_{1}, a_{2}, a_{3}\), . . . is defined by letting \(a_{1} = 3\) and \(a_{k} = 7a_{k}−1\) for all integers k ≥ 2. Show that \(an = 3 \cdot 7^{n−1}\) for all integers n ≥ 1.
Text Transcription:
a_1, a_2, a_3
a_1 = 3
a_k = 7a_k-1
a_n = 3 cdot 7^n-1
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