Math

Geometric Sequence Calculator

Use OmniCalc's geometric sequence calculator to generate terms from a start value and a constant ratio.

Geometric sequence calculator

Generate a geometric sequence from a start value and common ratio.

Enter the first term, common ratio, and number of terms to generate a geometric sequence instantly, along with its final term and sum.

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Why this result matters

What this calculator helps you answer

A flexible geometric-sequence generator that extends OmniCalc's growing math sequence cluster. Use the tool above to enter a few clear inputs and get a practical answer you can use right away.

This geometric sequence calculator helps students and everyday users build a sequence from a first term, a common ratio, and a chosen number of terms. It is useful for algebra practice, pattern study, and quick homework checks.

Formula and method

How the calculation works

The calculator generates each new term by multiplying the previous one by the common ratio and repeats until the chosen number of terms is reached.

Example

Example geometric sequence

If you enter a first term of 3, a common ratio of 2, and 6 terms, the calculator shows 3, 6, 12, 24, 48, and 96.

FAQ

Common questions about this calculator.

Short answers to the questions people often ask before or after using the tool.

Question

What is a geometric sequence?

A geometric sequence is a number pattern where each new term is found by multiplying the previous term by the same ratio.

Question

What is the common ratio?

The common ratio is the fixed multiplier between one term and the next in a geometric sequence.

Question

Can the ratio be negative or decimal?

Yes. A geometric sequence can use negative, decimal, or zero ratios depending on the pattern you want to generate.

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