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Geometric sequence

Find the nth term and finite sum of a geometric sequence.

Free

Enter a first term, a constant ratio and the required number of terms. The tool repeatedly multiplies each term by the ratio and accumulates the finite sum, including the ratio-one case.

◈ Local processingFree

How to use

  1. Enter your text, values, or image.
  2. Adjust the options and run the tool.
  3. Copy or download your result.

Worked example

Example input

First term: 3
Common ratio: 2
Number of terms: 4

Example result

{
  "nth": 24,
  "sum": 45
}

Limitations and details

Use 1–10000 terms; this does not compute an infinite-series sum, and rapidly growing terms can exceed the numeric range.

Inputs and options

First term
Number
Common ratio
Number
Number of terms
Number · Minimum: 1 · Maximum: 10000

Frequently asked questions

Is this tool free and private?

Yes. All 300 tools are free in this phase. Processing happens in your browser; your input and files are not sent to our servers.

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