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Sequence & Series Calculators

Nth Term Calculator

Paste the first few terms of a sequence; the calculator detects arithmetic, geometric or quadratic patterns and finds the nth term formula.

Enter values

Separate values with commas, spaces or new lines.

Results update as you type.

Result

Term 10

101

Pattern
Quadratic
Rule
aₙ = n^2 + 1

About the Nth Term Calculator

Paste the first few terms of a sequence; the calculator detects arithmetic, geometric or quadratic patterns and finds the nth term formula.

Also known as: find nth term, sequence rule, next term in sequence, pattern finder.

How to use this calculator

  1. Enter first terms, find term number.
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Review the breakdown shown under the main result.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

Arithmetic: a + (n−1)d · Geometric: a·rⁿ⁻¹ · Quadratic: an² + bn + c

Worked example

Using the values pre-filled in the calculator above:

  • First terms: 2, 5, 10, 17, 26
  • Find term number = 10

the calculator returns:

  • Term 10: 101
  • Pattern: Quadratic
  • Rule: aₙ = n^2 + 1