Math

Arithmetic Sequence Calculator

nth term and sum of an arithmetic series.

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Results
Term 20
98
Sum of first n terms
1010
Common difference
5
First terms
3, 8, 13, 18, 23, 28, 33, 38, 43, 48

Quick answer

In an arithmetic sequence each term adds a fixed common difference, so the nth term is a₁ + (n−1)d.

aₙ = a₁ + (n−1)d, Sₙ = n/2 (a₁ + aₙ)

How to use the Arithmetic Sequence Calculator

  1. 1Enter the first term of the sequence.
  2. 2Enter the common difference between terms.
  3. 3Enter which term number you want.

Frequently asked questions

What if the difference is negative?

The sequence decreases; the formulas still work exactly the same.

How is this different from geometric?

Arithmetic adds a constant, geometric multiplies by a constant.