What you provide
What you provide
- First term, using the same scenario as the other inputs
- Common difference, using the same scenario as the other inputs
- Term number, using the same scenario as the other inputs
MATH / SERIES
Arithmetic Series Calculator
Sum the first n terms of an arithmetic progression without enumerating every term. Review the equation, substituted values, result context, and modelling limits in one guided workspace.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
Sum the first n terms of an arithmetic progression without enumerating every term. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
Calculation path
S_n = n[2a_1 + (n - 1)d] / 2
What you receive
What you receive
- Series sum from the stated equation
- A symbolic formula plus substituted working with your values
- Visible assumptions, field guidance, and an authoritative learning reference
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
The term count must be a positive whole number and the difference remains constant.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors