# Sum of the infinite terms

## Description

A geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. An infinite geometric series is an infinite series whose successive terms have a common ratio. Such a series converges if and only if the absolute value of the common ratio is less than one (|r| < 1). Its value can then be computed from the finite sum formula.

Related formulas## Variables

S | Sum (dimensionless) |

a | Initial value of the geometric progression (dimensionless) |

r | common ratio |r| < 1 (dimensionless) |