Math Calculators

Geometric Sequence Calculator

Find the nth term and the sum of the first n terms of a geometric sequence.

nth term —

Sum of first n terms —

Sequence —

About the Geometric Sequence Calculator

A geometric sequence multiplies by a constant ratio r to get from one term to the next, producing rapid growth (or decay) compared to an arithmetic sequence.

Formula: nth term = a₁ × rⁿ⁻¹ · Sum of first n terms = a₁(rⁿ − 1) / (r − 1), for r ≠ 1

Geometric sequences model compound interest, population growth, radioactive decay and viral spread.