Calculators, Formulas and Work with Steps -
GP - Geometric Progression
First Term :

Common Ratio :

Number of Terms :

GP Sum :

nth Term :

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Geometric Progression Sum of Series Calculator'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, ar2, ar3 .... 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 32) + (2 x 33) + .... + (2 x 3(10-1)) = 59,048 and the Nth term is 39,366. It's very useful in mathematics to find the sum of large series of numbers that follows geometric progression.

Geometric Progression (GP) formula
Formula to find the sum of series that having the common ratio
Calculators and Calculations