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[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
-------
```
|