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A sequence where each term is multiplied by a constant to obtain the next term is called a  series.

The  of a geometric series is the constant factor between consecutive terms.

The first term in a geometric series is represented by the variable  .

If the common ratio r is greater than 1, the terms of the geometric series  exponentially.

A series that has a definite number of terms is called a  geometric series.

The sum of a finite geometric series can be found using the number of terms n, the first term a, and the  r.

When the common ratio r is less than one, the terms of the geometric series  as n increases.

If |r| is less than 1, the geometric series will  to a finite value.