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Nth Term Calculator

Arithmetic: aₙ = a₁ + (n − 1)d. Geometric: aₙ = a₁rⁿ⁻¹.

Inputs and units

  • Sequence: Choose Arithmetic, Geometric.
  • First term: Enter your value in the format and unit shown.
  • Common difference or ratio: Enter your value in the format and unit shown.
  • Term number n: Enter your value in the format and unit shown.

Calculation method

Arithmetic: aₙ = a₁ + (n − 1)d. Geometric: aₙ = a₁rⁿ⁻¹.

Worked example

The example values are: Sequence = arithmetic; First term = 3; Common difference or ratio = 2; Term number n = 10

  • Term: 21

Assumptions and limitations

Check that the inputs and units describe your situation.

Using your result

Select Calculate after changing inputs. Copy result copies the displayed output; Download result saves a text file. Reset returns the form to its example inputs. Calculations run in your browser.

Nth Term Calculator FAQs

What method does this calculator use?

Arithmetic: aₙ = a₁ + (n − 1)d. Geometric: aₙ = a₁rⁿ⁻¹.

What should I check before using the result?

Check that the inputs and units describe your situation.