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● Math Calculator

Sigma Calculator

Evaluate finite summations using sigma notation. Enter a term in n, choose the lower and upper limits, and review every term, subtotal, and final sum.

Σ
10n=1
STEP 01Enter a term

Type an expression such as n, n², 2n+1, or 1/n.

STEP 02Set the limits

Choose the starting and ending integer values for n.

STEP 03Calculate the sum

See the expanded series, term table, and running total.

Sigma total
55
final finite sum
Number of terms
10
inclusive range
First term
1
value at lower limit
Last term
10
value at upper limit
Average term
5.5
total ÷ term count
Sigma inputs
f(n)
n =
to
Sigma result
55
summation total
The expression n is evaluated from n = 1 through n = 10 and all 10 terms are added.
Σ(n), n = 1 to 10 = 1 + 2 + 3 + ... + 10 = 55
Expanded summation
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10

Each integer value of n is substituted into the expression, then the resulting terms are added together.

Calculation details
Expressionn
Index range1 to 10
Term count10
Final sum55
Term values
nf(n)Running total
Supported expressions

Use n, numbers, parentheses, +, −, *, /, %, and ^. Common functions include sqrt(), abs(), sin(), cos(), tan(), log(), ln(), exp(), floor(), ceil(), and round(). Constants pi and e are also supported.

Finite summations

This calculator evaluates finite integer ranges only. The lower and upper limits are included, and the upper limit must be greater than or equal to the lower limit.

Frequently asked questions
What does sigma notation mean?

The Greek letter sigma, Σ, means “add.” It tells you to evaluate an expression for each index value and add all resulting terms.

Are the limits included?

Yes. Both the lower and upper limits are included in the calculation.

How do I enter n squared?

Enter n^2. You can also use n*n.

Can I calculate an infinite series?

This tool calculates finite sums. Infinite series require convergence analysis and often a different formula or test.

Math Calculation Disclaimer

Results are estimates generated locally in your browser using standard mathematical formulas. They are for informational and educational purposes only and are not a substitute for verification in coursework, examinations or professional contexts requiring certified accuracy. VisionVix accepts no liability for decisions based on this tool's output.

ⓘ Sigma Calculator Disclaimer
This calculator is designed for educational finite summations. Results depend on valid mathematical syntax and floating-point arithmetic. Verify important academic or professional calculations independently.
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