Question: Let {an : n = 0, 1, 2, ...} be a sequence satisfying a n+2 = 3a n+1 2a n + 3 n for all

Let {an : n = 0, 1, 2, ...} be a sequence satisfying

an+2 = 3an+1 2an + 3nfor all n 0

for all n > 0 and a0 = a1 = 1. Find a formula for an.

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