Find a formula for nth term of the sequence of partial sums

Reference no: EM131005840

Telescoping series For the following telescoping series, find a formula for the nth term of the sequence of partial sums {S_n}. Then evaluate lim_n→∞ S_n to obtain the value of the series or state that the series diverges.

_k=1Σ^∞ 1 / (k + p)(k + p + 1), where p is a positive integer

_k=1Σ^∞ 1 / (ak + 1)(ak + a + 1), where a is a positive integer

Please a provide a very dumbed down but thorough explanation.

Reference no: EM131005840

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