Summation Notation Calculator

Calculate sums using sigma notation. Enter bounds and formula type to compute the sum.

Summation Bounds

Lower Bound (i =)

Upper Bound

Formula Type

Coefficient a

Coefficient b

Σ (i = 1 to 10) i

Result

55

Sum of 10 terms

Closed form: n(n+1)/2 = 10(10+1)/2 = 55

Terms

i=1:1

i=2:2

i=3:3

i=4:4

i=5:5

i=6:6

i=7:7

i=8:8

i=9:9

i=10:10

Common Formulas

Σi = n(n+1)/2

Sum of first n integers

Σi^2 = n(n+1)(2n+1)/6

Sum of squares

Σi^3 = [n(n+1)/2]^2

Sum of cubes

Σ(1/i!) ≈ e - 1

Approaches e - 1