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QUESTION
Let a1 = 1 and an+1 = 1 2 an + 5 an for n 1. (c) Find a formula that nicely expresses an+1 L in terms of an L. (d) Prove that the limit exists.
2. Let a1 = 1 and an+1 = 1 2 an + 5 an for n ≥ 1.
(c) Find a formula that nicely expresses an+1 − L in terms of an − L.
(d) Prove that the limit exists. Find an explicit N such that |aN − L| < 10−1000
