Math Calculators

Geometric Sequence Common Ratio Calculator

Calculate geometric sequence common ratio with clear inputs, formulas, and supporting results.

Free browser-based tool • No signup required
Geometric Sequence Common Ratio

Geometric Sequence Common Ratio Calculator

Common ratio
Reconstructed last term
Results are estimates for informational purposes. Verify critical calculations and project requirements independently.

Calculator Inputs and Outputs

Inputs

  • First term — example: 2
  • Last term — example: 20
  • Number of terms — example: 10

Results

  • Common ratio
  • Reconstructed last term

Formula used

Common ratio = (last term ÷ first term)^(1 ÷ (number of terms − 1)).

How to Use the Geometric Sequence Common Ratio Calculator

  1. Enter each requested input using consistent units.
  2. Select Calculate Geometric Sequence Common Ratio.
  3. Review the primary answer and supporting results.

Inputs

  • First term: enter a value in the shown unit.
  • Last term: enter a value in the shown unit.
  • Number of terms: enter a value in the shown unit.

Formula

Common ratio = (last term ÷ first term)^(1 ÷ (number of terms − 1)).

Results

  • Common ratio.
  • Reconstructed last term.

Accuracy and Limits

Use measured inputs and keep units consistent. Results are estimates and should be independently checked before financial, medical, construction, scientific, legal, or safety-critical decisions.

Calculation Standards

This tool uses documented formulas and high-precision internal values. Displayed results may be rounded for readability. Review the assumptions and verify important decisions with a qualified professional.

Read our calculation methodology