The following holds for the geometric sequence gn: the first term g1 is equal to 5, the sum of the first three terms is 35/4, and the sum of all infinite terms converges. Give the general term of this geometric sequence and calculate the sum of all terms.

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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.