[Σ Sigma notation](https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-3/v/sigma-notation-sum) Sum of some terms Sum of the first 10 #'s ``` ------- 10 | | Σ i | 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 | 55 i=1 | | ------- ------- 100 | Σ i | 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 .... 100 i=1 | ------- sum := 0 for i = 1; i <= 100; i++ { sum += i } ``` The summation is an arithmetic series and has the value ``` ------- n | | Σ k | 1 + 2 + ... + n | k=1 | | ------- ``` Sum of squares: ``` ------- n | n(n+1)(2n+1) Σ k^2 | = -------------- k=0 | 6 ------- ------- n | n^2(n+1)^2 Σ k^3 | = ------------- k=0 | 4 ------- ```