DataToolsLab
Number Theory & Statistics Calculators

Arithmetic Sequence Calculator

Find the nth term and the sum of an arithmetic sequence.

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What is Arithmetic Sequence?

An arithmetic sequence adds the same amount at every step: 3, 7, 11, 15, … with a common difference of 4. The nth term is a₁ + (n − 1)d and the sum of the first n terms is n times the average of the first and last — which is why the total can be found without adding the middle values at all.

How it works

Both answers are closed forms, so any length up to a million is instant and the page never has to build a giant list to sum it. The substituted working is printed as a separate step because the substitution is what is being learned here — the arithmetic is the easy part. Negative and fractional differences are ordinary input rather than special cases.

  1. Enter your input. Type or paste your input into the field above — the tool responds instantly.
  2. Review the result. Output updates live as you type. Everything runs entirely in your browser.
  3. Copy or download. Use the Copy button to grab the result, or Download to save it as a file.

Examples

Realistic sample

Type or paste any realistic input — the tool computes the result locally and instantly.

Common mistakes

Expecting a server round-trip

Nothing is uploaded — every tool in this category runs entirely in your browser.

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