Question: solve the problem quickly Let a sequence ao, a1, a2, . . . be defined by ao = 3, a1 = 2 and an =

solve the problem quickly

Let a sequence ao, a1, a2, . . . be defined by ao = 3, a1 = 2 and an = 3an-1 + 4an-2 for n 2 2. Use induction to show that an = 4" + 2 . (-1)" for n > 0

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