Geometric Series Calculator

Calculate the sum of a finite geometric series, and whether it converges as n → ∞ (|r| < 1).

Also known as sum of geometric series, geometric sum, sum of gp.

Enter values

Result

Sum of 10 terms

199.8047

Calculate the sum of a finite geometric series, and whether it converges as n → ∞ (|r| < 1).

Also known as: sum of geometric series, geometric sum, sum of gp.

Enter first term, common ratio, terms.
The result updates instantly as you type — press Calculate (or Enter) at any time.
Review the breakdown shown under the main result.
Use Copy result or Share to save the answer or send a link with your inputs.

Sₙ = a₁(1 − rⁿ)/(1 − r) · S∞ = a₁/(1 − r) for |r| < 1

Using the values pre-filled in the calculator above:

the calculator returns: