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Home/Mathematics/Sequences & Series/Infinite Geometric Series Calculator
Math CalculatorSequences & Series

Infinite Geometric Series Calculator

Calculate the sum of an infinite geometric series using S = a₁ / (1 - r). Only converges when |r| < 1. Instantly find the limiting sum.

Updated 2025-01-153 min readCalzyra Math Team

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The first term of the infinite geometric series.

Must satisfy |r| < 1 for the series to converge.

Formula & Methodology

How this calculator works

S = a₁ / (1 - r), |r| < 1

The sum of an infinite convergent geometric series equals the first term divided by (1 minus r), valid when the absolute value of r is less than 1.

Frequently Asked Questions

Common questions about this calculator

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