Sequence and Series
6.0 $\Sigma $, Sigma Notation
6.0 $\Sigma $, Sigma Notation
The symbol $\Sigma $ means the sum of similar terms. Using $\Sigma $ before the $n$th term of the series represents the sum of any series.
For example: $$\sum\limits_{n = 1}^{10} {n = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10} $$
- $\sum\limits_{i = 1}^m {a = a + a + a + a + ...m{\text{ terms}} = am} $ where $a$ is any constant.
- $\sum\limits_{i = 1}^k {ai = a\sum\limits_{i = 1}^k i } $
- $$\sum\limits_{i = 1}^p {({i^2} - 3i) = \sum\limits_{i = 1}^p {{i^2} - 3} } \sum\limits_{i = 1}^p i $$
