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Let a0, a1 ::: be the series recursively defined by a0 = 1, and an = 3 + an-1 for n ≥ 1.
(a) Compute a1, a2, a3 and a4.
(b) Compute a formula for an, n ≥ 0.
(c) Use induction to show that your formula is right.
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