Arithmetic Series
Free Arithmetic Series calculator with clear step-by-step results.
About Arithmetic Series
An arithmetic series is the sum of an arithmetic sequence.
Formula
Formula
Sum = n/2 × (first + last)
Worked example
With the default values below, Arithmetic Series returns Sum of Series of 55.00. Change any input above and every figure here is recalculated in your browser.
Inputs used
- First termminimum 0
- 1
- Last termminimum 0
- 10
- Number of termsminimum 1
- 10
Results
- Sum of Series
- 55.00
- Average Term
- 5.50
- Terms
- 10.00
Step by step
- 1Values used
- 2Formula
- 3Sum of Series= 55.00
- 4Average Term= 5.50
- 5Terms= 10
Assumptions and limits
- The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 2 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
How does this calculator work?
An arithmetic series is the sum of an arithmetic sequence.
Why does this matter?
Works for evenly spaced terms.