Geometric Series Calculator

Sums, terms & convergence

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About Geometric Series Calculator

A geometric series calculator for sequences where each term is multiplied by a constant ratio r. Computes nth term (arⁿ⁻¹), partial sum Sₙ = a(1−rⁿ)/(1−r), and infinite sum S∞ = a/(1−r) when |r|<1. Identifies convergence/divergence. All calculations are client-side. Essential for finance (annuities), physics (decay), and calculus.

Geometric Series Calculator Features

  • nth term
  • Partial sum
  • Infinite sum
  • Convergence
  • First n terms

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