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Preliminary investigation of the series s= reveals the partial sums n=1 N SN = -2N +9 4N+9 where SN = an. n=1 (a) Find

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Preliminary investigation of the series s= reveals the partial sums n=1 N SN = -2N +9 4N+9 where SN = an. n=1 (a) Find an formula for an in terms of n, valid whenever n > 1. an = for n > 1. (b) Evaluate S. Eligible answers include real numbers and the strings "inf", "-inf", and "DNE". an = n=1

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