A geometric sequence is any sequence of where each term is non-zero and can be defined as a multiplying the previous term by a fixed number called the common ratio (usually denoted with an ).

Common Ratio

The common ratio of a geometric sequence is the "ratio" by which each term grows by compared to the previous element. The common ratio is usually denoted with an and can be loosely defined as

Definition

Any single term in a geometric sequence can be defined as follows

Where is the initial value of the sequence and is the common ratio of the sequence.