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A Series ∑k=1∞ak\sum _ { k = 1 } ^ { \infty } a _ { k }

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A series ∑k=1∞ak\sum _ { k = 1 } ^ { \infty } a _ { k } has partial sums, SnS _ { n } , given by Sn=7n−2nS _ { n } = \frac { 7 n - 2 } { n } (a) Is ∑k=1∞ak\sum _ { k = 1 } ^ { \infty } a _ { k } convergent? If it is, find the sum.(b) Find lim⁡n→∞ak\lim _ { n \rightarrow \infty } a _ { k } .(c) Find ∑k=1200ak\sum _ { k = 1 } ^ { 200 } a _ { k }

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