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Home/Mathematics/Sequences & Series/Geometric Sequence Sum Calculator
Math CalculatorSequences & Series

Geometric Sequence Sum Calculator

Find the sum of the first n terms of a geometric sequence using S_n = a₁(1 - r^n) / (1 - r). Works for any valid common ratio.

Updated 2025-01-153 min readCalzyra Math Team

Calculator

Enter your values below

CalculatorFree Tool

The first term of the geometric sequence.

The constant multiplier between consecutive terms (r ≠ 1).

How many terms to sum.

Formula & Methodology

How this calculator works

S_n = a₁ × (1 - r^n) / (1 - r)

The sum of the first n terms equals the first term times (1 minus r to the nth power) divided by (1 minus r).

Frequently Asked Questions

Common questions about this calculator

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