Answer: In each of 1116 suppose a sequence satisfies the given recurrence relation and

Chapter 5, Problem 13

(choose chapter or problem)

In each of 11–16 suppose a sequence satisfies the given recurrence relation and initial conditions. Find an explicit formula for the sequence.

\(r_{k} = 2r_{k−1} − r_{k−2}\), for all integers k ≥ 2

\(r_{0} = 1, e_{1} = 4\)

Text Transcription:

r_k = 2r_k−1 − r_k−2

r_0 = 1, r_1 = 4

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