2n – 7 Problem 9: Suppose that {a,}n=1 is a sequence and let s, => ak. If sn = answer the following 10n questions. I. Calculate a2. You do not need to simplify your final answer. II. Explain why > ak converges to k=1 Σ III. Let rn = A. Give an explicit formula for ra. Simplify your final answer completely. B. Find the smallest integer N so ak is within .1 of the value of the series ak. Make sure to justify Ak- why the value of N you chose is the smallest such integer.

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