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MATH / SEQUENCES

Geometric Sequence Calculator

Find a geometric sequence term from the first term, common ratio, and term position. Review the equation, substituted values, result context, and modelling limits in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Find a geometric sequence term from the first term, common ratio, and term position. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

a_n = a_1 r^(n - 1)

What you provide

What you provide

  • First term, using the same scenario as the other inputs
  • Common ratio, using the same scenario as the other inputs
  • Term number, using the same scenario as the other inputs

What you receive

What you receive

  • Nth term from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

The model assumes every term is produced by the same multiplicative ratio.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors