Geometric Sequences.

A sequence is called geometric if the ratio between successive terms is constant. Suppose the initial term \(a_0\) is \(a\) and the common ratio is \(r\text{.}\) Then we have,

Recursive definition: \(a_n = ra_{n-1}\) with \(a_0 = a\text{.}\)

Closed formula: \(a_n = a\cdot r^{n}\text{.}\)