Telescoping series For the following telescoping series, find a formula for the nth term of the sequence of partial sums {Sn}. Then evaluate limn→∞ Sn 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.