A geometric series is given such that the 7th term is 2187 and the 13th term id 3. a) Determine the common ratio(s) between consecutive terms. Then state the sum of the 7th through 10th term if the common ratio<0. b) What is the limit for the infinite sum of this series (for common ratio<0)? If the infinite series converges, state its limit, otherwise state the series diverges.

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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.