Solved: Suppose d is a fixed constant and a0, a1, a2,... is a sequence that satisfies
Chapter 5, Problem 18(choose chapter or problem)
Suppose d is a fixed constant and \(a_{0}, a_{1}, a_{2}\), . . . is a sequence that satisfies the recurrence relation \(a_{k} = a_{k−1} + d\), for all integers k ≥ 1. Use mathematical induction to prove that \(a_{n} = a_{0} + nd\), for all integers n ≥ 0.
Text Transcription:
a_0, a_1, a_2
a_k = a_k−1 + d
a_n = a_0 + nd
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