# Geometric Progression Sum of Series Calculator

getcalc.com's **Geometric Progression (GP) Calculator** is an online basic math function tool to calculate the sum of n numbers or series of numbers that having a common ratio between consecutive terms.

## Definition and Formula

**Geometric Progression** often abbreviated as GP in mathematics, is a basic mathemetic function represents the series of numbers or n numbers that having a common ratio between consecutive terms. For example, 2, 4, 8, 16 .... n is a geometric progression series that represents a, ar, ar^{2}, ar^{3} .... ar^{(n-1)}; where 2 is a first term a, the common ratio r is 3 and the total number of terms n is 10. Therefore, the sum of above GP series is 2 + (2 x 3) + (2 x 3^{2}) + (2 x 3^{3}) + .... + (2 x 3^{(10-1)}) = 59,048 and the N^{th} term is 39,366. It's very useful in mathematics to find the sum of large series of numbers that follows geometric progression.