Definition:Geometric Progression
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Definition
A geometric progression is a sequence $\left \langle{x_n}\right \rangle$ in $\R$ defined as:
- $x_n = a r^{n-1}$ for $n = 1, 2, 3, \ldots$
where:
- $r \in \R: r \ne 0$ is called the common ratio;
- $a \in \R: a \ne 0$ is called the scale factor.
Thus its general form is:
- $a, ar, ar^2, ar^3, \ldots$
