Question

Rewrite each series using sigma notation 1+4+9+16+25

Answer 1

Given:

`1+4+9+16+25`

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum.

Hence,

`1+4+9+16+25=1^2+2^2+3^2+4^2+5^2`

Thus,

The sigma notation is;

`\begin{gathered} 1^2+2^2+3^2+4^2+5^2=\sum ^5_(n\mathop=1)n^2 \\ \\ \text{where} \\ n\text{ is the terms of the series ranging from 1 to 5.} \end{gathered}`

Therefore, the sigma notation of the series is;

`\sum ^5_{n\mathop{=}1}n^2`