Question

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

Answer 1

Solution:

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;

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