Geometric Sequence

analysis

Definition

Geometric Sequence

A sequence is called geometric if the ratio between two consecutive terms remains constant:

$$\forall n\in \mathcal{D}:q=\frac{a_{n+1}}{a_n}$$

The sequence would be $(a_0,a_0\cdot q,a_0\cdot q^2,\dots )$.

An alternative representation:

$$\begin{array}{r}{a}_n=a_0\cdot q^n\end{array}$$