Given the series > An, n=1 let SN = >, a,, be its Nth partial sum. Suppose that n=1 SN = 8 - N3 A) Find a5 . B) Find the sum of the series > an , or show that the series n=1 diverges. C) Find lim an, or show that this limit does not exist.

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.