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Mathematics

Geometric sequence

Geometric sequence: calculate from your inputs and inspect the formula. No account required. Processing stays in your browser.

LEARN WITH THE FORMULA

aₙ=a₁rⁿ⁻¹; Sₙ=a₁(1−rⁿ)/(1−r)

Check units and the formula domain. Numerical results are rounded.

How to use this calculator

  1. Identify the quantities and convert them to the units shown.
  2. Apply the formula first, then compare with the substitution and result.
  3. Check the assumptions and whether the order of magnitude makes sense.

Levels are approximate topic groupings, not a complete curriculum for every country. Numerical results are rounded and may lose precision for extreme or nearly singular inputs.

A practical example

Use these sample inputs to check the calculation before entering your own values.

First term
2
Ratio
2
Number of terms
10

Result for this example

Nth term
1024
Sum
2046

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