Summation (Sigma) Calculator — Evaluate Σ Series (Free)
Use this free summation calculator to evaluate a sigma (Σ) series. Enter an expression in k, a lower index and an upper index, and the tool adds up every term — showing the expansion of the first few terms and the final total.
How to use the calculator
- Type the expression to be summed (in terms of k), such as
2*k+1ork^2. - Enter the lower and upper index values.
- Press Calculate to see the sum and the expanded terms.
What sigma notation means
Sigma notation is shorthand for a sum: Σ from k = lower to upper of an expression means substitute each integer k in turn and add the results. For example, Σ from k = 1 to 10 of (2k + 1) = 3 + 5 + 7 + … + 21 = 120.
Frequently asked questions
What does sigma (Σ) notation mean?
It’s compact notation for a sum: you substitute each integer index from the lower to the upper bound into the expression and add all the results.
Can it sum expressions with powers or functions?
Yes — use k with +, −, *, /, ^, parentheses, and functions like sqrt, sin, ln. For example Σ k² from 1 to 5 is 55.
Is there a limit on the number of terms?
The tool sums up to 100,000 terms to stay fast and safe in the browser.
Read the full lesson: learn the method step by step.
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