Arithmetic Sequence Calculator

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Calculates terms, sums, or the formula for an arithmetic sequence.

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How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter First Term (a₁), Common Difference (d), Term Number (n) to find aₙ, and Number of Terms (n) for Sum in the units shown.

Step 2

Read Sequence Formula (aₙ), Sum of first n Terms (Sₙ), and aₙ (nth Term) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Example 1

First Term (a₁): 2; Common Difference (d): 3; Term Number (n) to find aₙ: 4; Number of Terms (n) for Sum: 4

Sequence Formula (aₙ): 2 + (3) * (n - 1); Sum of first n Terms (Sₙ): 26; aₙ (nth Term): 11

Example 2

First Term (a₁): 1; Common Difference (d): 1; Term Number (n) to find aₙ: 10; Number of Terms (n) for Sum: 10

Sequence Formula (aₙ): 1 + (1) * (n - 1); Sum of first n Terms (Sₙ): 55; aₙ (nth Term): 10

Example 3

First Term (a₁): 5; Common Difference (d): -2; Term Number (n) to find aₙ: 3; Number of Terms (n) for Sum: 3

Sequence Formula (aₙ): 5 + (-2) * (n - 1); Sum of first n Terms (Sₙ): 9; aₙ (nth Term): 1

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