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Summation Calculator

summation calculator. Get instant, accurate results. Enter values for instant results with step-by-step formulas.

Reviewed by Manoj Kumar, Mathematics Educator

Reviewed by Manoj Kumar, Mathematics Educator

Formula

ฮฃ from i=start to end of f(i) = f(start) + f(start+1) + ... + f(end)

Sigma notation compactly represents the sum of a series. The expression is evaluated for each integer value of i from start to end. Common formulas: ฮฃi = n(n+1)/2, ฮฃiยฒ = n(n+1)(2n+1)/6.

Worked Examples

Example 1: Sum of squares 1 to 100

Problem:ฮฃ iยฒ from i=1 to 100

Solution:Formula: 100ร—101ร—201/6 = 338,350

Result:338,350

Reviewed by Manoj Kumar, Mathematics Educator ยท Editorial policy