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Two infinite sequences {an}∞ n=0 and {bn}∞ n=0 satisfy the recurrence relations an+1 = an −bn...

Two infinite sequences {an}∞ n=0 and {bn}∞ n=0 satisfy the recurrence relations an+1 = an −bn and bn+1 = 3an + 5bn for all n ≥ 0.  Imitate the techniques used to solve differential equations to find general formulas for an and bn in terms of n.

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