# What are some examples of summation notation?

Sep 2, 2015

${\sum}_{n = 1}^{\infty} {a}_{n} = {a}_{1} + {a}_{2} + {a}_{3} + \ldots$

${\sum}_{n = 0}^{10} {n}^{2}$

#### Explanation:

The summation notation is mostly used to represents series or to express a series in a short form.

For example : if I want to write the series : $1 + 4 + 9 + 16 + 25$
in summation notation I would simply write:

${\sum}_{n = 1}^{5} {n}^{2}$