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Geometric Sequence Calculator

Find the nth term, the sum of n terms and the sum to infinity of a geometric progression (GP) from the first term and common ratio.

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What is the Geometric Sequence Calculator?

A geometric sequence multiplies by the same number (the common ratio r) each time, like 3, 6, 12, 24. Enter a₁, r and n to get the nth term, the sum of n terms, and the sum to infinity when |r| < 1.

How to use the Geometric Sequence Calculator

  1. Enter a₁, r and n.
  2. Read aₙ, Sₙ and the sum to infinity.

When does a GP have a sum to infinity?

Only when the ratio is between -1 and 1. Then S∞ = a₁ / (1 - r).

This Geometric Sequence Calculator is 100% free, needs no signup and runs privately in your browser – on phone, tablet or computer.

Last updated: · By NodifyTech