Series Calculator
Geometric Series
Formula
Sₙ = a(1 - rⁿ)/(1 - r); S∞ = a/(1 - r) if |r| < 1
Frequently Asked Questions
When does a geometric series converge?
A geometric series converges if and only if the absolute value of the common ratio is less than 1 (|r| < 1). When it converges, the infinite sum equals a/(1-r), where a is the first term and r is the common ratio.
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