Arithmetic sequence calculator

Find the nth term and the sum of the first n terms of an arithmetic sequence.

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Tool guide

Arithmetic sequence calculator: how it works

Practical information to understand the result and use this tool correctly.

About Arithmetic sequence calculator

Arithmetic sequences change by a constant difference d each step.

Closed forms give any term and the sum without listing every value.

Standard in algebra courses and financial arithmetic progressions.

How to use it

  1. 1Enter a₁, d, and n ≥ 1.
  2. 2Calculate aₙ and Sₙ.
  3. 3Negative d is allowed for decreasing sequences.

Frequently asked questions

Is n 1-based?
Yes — the first term is n=1.
Sum formula?
Sₙ = n/2 · (first + last) works too.