EngineeringToolkit

Geometric Series Sum Formula

Calculates the sum of a finite geometric sequence when the common ratio is not one.

Formula

S = a × (1 - r^n)/(1 - r)

Discipline: Mathematics. Result unit: dimensionless.

Variables and units

  • S — Series Sum: Sum of the sequence terms
  • a — First Term: First value in the sequence
  • r — Common Ratio: Ratio between consecutive terms
  • n — Number of Terms: Number of terms in the sequence