# Finite geometric series

Evaluate finite geometric series given in sigma notation, recursively, or explicitly.

### Problem

The geometric sequence a, start subscript, i, end subscript is defined by the formula:
a, start subscript, 1, end subscript, equals, 8
a, start subscript, i, end subscript, equals, a, start subscript, i, minus, 1, end subscript, dot, start fraction, 3, divided by, 4, end fraction
Find the sum of the first 25 terms in the sequence.
Please choose from one of the following options.