math calculator

Geometric Sequence Sum Calculator

Use this geometric sequence sum calculator for worksheet math, quick review, and self-checking when you want a direct answer without rewriting the formula by hand.

Important Use Notice

Informational calculator only. Verify important outputs independently before legal, tax, medical, engineering, safety-critical, contractual, employment, or compliance use.

Estimate

Enter job values, review the estimate, then use the decision hints before ordering or quoting.

Estimate Results

Enter values to see the result.

Example

3, 2, 6 gives Sum 189.

Formula

S_n = a_1(1 - r^n) / (1 - r)

Use the closed-form geometric sum formula when the ratio is not 1.

If the ratio equals 1, the sum is just the first term times n.

Check

Mixing units or scales across first term, common ratio, n before calculating sum.
Confirm that all inputs use the same unit system expected by the formula.

Next Step

FAQ

When should I keep extra decimals for geometric sequence sum calculator?

Keep more decimal places when the result will be reused in another formula, drawing, or comparison rather than read once and rounded.

Is geometric sequence sum calculator a stable evergreen formula?

Yes. The formula is stable and this tool only covers straightforward calculation.