EngineeringToolkit

Arithmetic Series Sum Formula

Calculates the sum of a finite arithmetic sequence from its first term and common difference.

Formula

S = n/2 × (2a + (n - 1)d)

Discipline: Mathematics. Result unit: dimensionless.

Variables and units

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