Linearity

The properties of Sigma Notation that include the:

• Additive property
• Constant multiple property

Distributive

${\sum }_{k=1}^n(a_k+b_k)={\sum }_{k=1}^n(a_k)+{\sum }_{k=1}^n(b_k)$

Constant Multiple

${\sum }_{k=1}^{n}c(a_k)=c{\sum }_{k=1}^n(a_k)$

Splitting Sum

${\sum }_{k=1}^n(a_k)={\sum }_{k=1}^{l-1}(a_k)+{\sum }_{k=l}^n(a_k)$ Where $1<l\le n$