Suppose r is a xed constant and a0,a1,a2 ...is a sequence

Chapter 5, Problem 5.274

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Suppose r is a xed constant and a0,a1,a2 ...is a sequence that satises the recurrence relation ak =rak1, for all integers k 1 anda0 =a. Use mathematical induction to prove that an =arn, for all integers n 0.

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