Arithmetic Series Sum CalculatorFree online math calculator — instant results, no sign-up
Sum a known number of equally spaced terms.
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About the Arithmetic Series Sum Calculator
Sum a known number of equally spaced terms. Uses the stated mathematical model and consistent units. Display is rounded to six decimal places; preserve precision for chained calculations.
- First term
- Enter first term. Accepted minimum: -1000000000000.0.
- Common difference
- Enter common difference. Accepted minimum: -1000000000000.0.
- Term count
- Enter term count. Accepted minimum: 1. Maximum: 1000000.0.
Formula and method
Result = count / 2 * (2 * first + (count - 1) * difference)
- firstFirst term
- differenceCommon difference
- countTerm count
Sum a known number of equally spaced terms. Substitute the variables using the units defined above. Uses the stated mathematical model and consistent units. Display is rounded to six decimal places; preserve precision for chained calculations.
Worked example
These are the calculator's starting values and the results it actually produces for them.
Inputs
- First term3
- Common difference2
- Term count5
Results
- Result35
How to use the Arithmetic Series Sum Calculator
- 1Enter first term.
- 2Check common difference, term count.
- 3Read the numerical result and compare the stated assumptions with your situation.
Reading your result
Sum a known number of equally spaced terms. The displayed quantity is dimensionless. A negative value, when the formula permits one, describes the direction of the difference—not a positive gain.
Limitations
Uses the stated mathematical model and consistent units. Display is rounded to six decimal places; preserve precision for chained calculations. Numeric results are rounded for display; the calculation does not establish that your chosen inputs represent a realistic or permitted scenario.
Common questions
Which units does Arithmetic Series Sum require?+
First term: dimensionless number; Common difference: dimensionless number; Term count: dimensionless number. Do not mix incompatible units.
What assumptions matter for Arithmetic Series Sum?+
Uses the stated mathematical model and consistent units. Display is rounded to six decimal places; preserve precision for chained calculations.
How should I check a Arithmetic Series Sum result?+
Use the formula above with the shown starting inputs and compare the worked example generated from the tool. Check the original measurements and terms before using the figure.
Does the calculator save my information?+
Calculations run in your browser. While signed in, inputs and results are automatically recorded in account history; saving a result creates a separate saved record.
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Results are estimates for informational purposes and are not financial, medical or legal advice.