Geometric Sequence Calculator

nth term, partial sums and infinite sums of a geometric sequence.

Runs in your browser — nothing is uploaded

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How to use Geometric Sequence Calculator

  1. Enter your values — the unit for each field is shown next to it.
  2. The result updates instantly as you type.
  3. Copy the results, or change inputs to compare scenarios.

Formula & assumptions

aₙ = a₁ · rⁿ⁻¹

Sₙ = a₁(1 − rⁿ) / (1 − r)

S∞ = a₁ / (1 − r) when |r| < 1