Geometric Sequence Calculator
Find the nth term and the sum of the first n terms of a geometric sequence from the first term and common ratio.
- Sum of first 8 terms
- 765
Formula: aₙ = a₁ × r^(n−1)
About Geometric Sequence Calculator
Geometric Sequence Calculator is a free online calculator that gives you an instant, accurate result as you type. Find the nth term and the sum of the first n terms of a geometric sequence from the first term and common ratio.
The calculation uses the standard formula aₙ = a₁ × r^(n−1) and updates live with every change to the inputs. Everything runs client-side in your browser — fast, private, and free to use as often as you like.
Frequently Asked Questions
Is Geometric Sequence Calculator free to use?
Yes. Geometric Sequence Calculator is completely free, with no sign-up, no downloads, and no usage limits. You can use it as many times as you like on any device with a web browser.
How accurate is this calculator?
The calculator applies the standard formula (aₙ = a₁ × r^(n−1)) with full floating-point precision and rounds only the displayed result. For most practical purposes the results are exact.
What if the common ratio is 1?
Every term equals the first term, and the sum of the first n terms is simply n × a₁. The usual sum formula cannot be used because it would divide by zero.
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