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Sequence & Series Calculators

Common Difference Calculator

Find the common difference of an arithmetic sequence from a list of terms or from two terms and their positions.

Enter values

Results update as you type.

Result

Common difference d

4

First term a₁
3
Step-by-stepShow
  1. d = (31 − 7) ÷ (8 − 2) = 4

About the Common Difference Calculator

Find the common difference of an arithmetic sequence from a list of terms or from two terms and their positions.

Also known as: find common difference, arithmetic difference, d in arithmetic sequence.

How to use this calculator

  1. Enter term value aₘ, position m, term value aₙ, position n.
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Open “Step-by-step” to see how the answer was worked out.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

d = (aₙ − aₘ) / (n − m)

Worked example

Using the values pre-filled in the calculator above:

  • Term value aₘ = 7
  • Position m = 2
  • Term value aₙ = 31
  • Position n = 8

the calculator returns:

  • Common difference d: 4
  • First term a₁: 3

Working

  1. d = (31 − 7) ÷ (8 − 2) = 4