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For the following telescoping series, find a formula for the nth term of the sequence of partial sums {S,). Then evaluate lim S, to obtain

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For the following telescoping series, find a formula for the nth term of the sequence of partial sums {S,). Then evaluate lim S, to obtain the value of the series or state that the series diverges. n-+00 5 M : K = 1 (5k - 4)(5k + 1) Sn = Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 5 O A. (5k - 4)(5k + 1) (Simplify your answer.) K = 1 O B. The series diverges

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