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A sequence a0, a1, a2, . . . is de?ned recursively as follows: a0 = 2 a1 = 9
ak = 5ak- 1 - 6ak- 2 for all integers k ≥ 2.
Use strong mathematical induction to prove that for all n ≥ 0, an = 5 · 3n - 3 · 2n.
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