Geometric Series

A geometric series is a series whose related sequence is geometric.  It results from adding the terms of a geometric sequence.

Example 1:

Finite geometric sequence       :

Related finite geometric series :

Written in sigma notation        :

Example 2:

Infinite geometric sequence       : 2, 6, 18, 54, ···

Related infinite geometric series : 2 + 6 + 18 + 54 + ···

Written in sigma notation           :