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Math
Geometric Series Sum
Sₙ given a₁, r, and n
Runs locally in your browser
Parameters
Results
- Sₙ
- 5.9941
- S∞ (|r|<1)
- 6
- aₙ
- 0.0059
How it works
Sum the first n terms of a geometric series and find the infinite sum when convergent.
Who it's for: Calculus and finance students working with geometric progressions.
Computes Sₙ = a₁(1 − rⁿ)/(1 − r) for r ≠ 1.
Shows infinite sum S∞ = a₁/(1 − r) when |r| < 1.
Useful for annuity and decay models.
How to use
- Enter first term a₁, common ratio r, and number of terms n.
- Read Sₙ and S∞ (when applicable).