Geometric Sequence Calculator
Find the nth term and sum of a geometric sequence.
Sequences that multiply
A geometric sequence grows or shrinks by a constant ratio each step, producing the rapid change behind compound interest and exponential models. This tool finds its nth term and running sum.
Starting at 3 with a ratio of 2 gives 3, 6, 12, 24 and onward; the eighth term is 384 and the first eight terms sum to 765. Ratios below one shrink the terms toward zero.
Fast and private
It applies the geometric formulas in your browser, so nothing you enter is uploaded.
Frequently Asked Questions
What is a geometric sequence?
A list where each term is multiplied by a fixed ratio, such as 3, 6, 12, 24 with a ratio of 2.
What does it compute?
The nth term and the sum of the first n terms, along with a preview of the opening terms.
What if the ratio is between -1 and 1?
The sum of the first n terms is still finite and computed exactly; such sequences also have a limiting infinite sum.
Browse the full set of free, private, in-browser tools.