Arithmetic Series Calculator
Published On: 10/03/2026
Arithmetic Series Calculator
Calculate the sum of an arithmetic series using the first term, common difference, and number of terms.
Arithmetic Series Calculator – Description
The Arithmetic Series Calculator finds the sum of a sequence of numbers where each term increases or decreases by a constant value known as the common difference.
An arithmetic series is the sum of an arithmetic sequence. For example:
5 + 8 + 11 + 14 + 17
In this example, the first term is 5 and the common difference is 3.
The calculator uses the following formulas:
- aₙ = a₁ + (n − 1)d — calculates the last term
- Sₙ = n/2 × (a₁ + aₙ) — calculates the sum of the series
Where:
- a₁ = first term
- d = common difference
- n = number of terms
- aₙ = last term
- Sₙ = sum of the series
This calculator is useful for students studying algebra, SAT/ACT math preparation, financial modeling, and mathematical sequence analysis.