geometric series

geometric series (plural geometric series)

1. (mathematical analysis) Any infinite series whose terms are in geometric progression; any series of the form ${\displaystyle \textstyle a+ar+ar^{2}+ar^{3}\cdots =a\sum _{i=0}^{\infty }r^{i}}$, where ${\displaystyle a\neq 0}$, ${\displaystyle r\neq 0}$, and ${\displaystyle r\neq 1}$.

   Coordinate terms: arithmetic series, harmonic series

• geometric progression