Chapter 11.4, Problem 2OE

To determine

To explain:

Summand of ${\displaystyle \sum _{m=2}^5\left(4m^2-3\right)}$

Answer to Problem 2OE

Summand of $\left(4m^2-3\right)$ whose value is $13$ .

Explanation of Solution

Give information:

Expression:

  ${\displaystyle \sum _{m=2}^5\left(4m^2-3\right)}$

The formula for finding series is,

  ${\displaystyle \sum _{i=1}^{n}C}$

Where,

  $i=$ index,

  $C=$ Summand of the given expression.

  $n=$ number of terms.

After comparing to the summation formula,

In given expression $\begin{array}{l}{\displaystyle \sum _{m=2}^5\left(4m^2-3\right)}\\ =\left(4{\left(2\right)}^2-3\right)\\ =13\end{array}$ ,

Summand of $\left(4m^2-3\right)$ .

Therefore, Summand of $\left(4m^2-3\right)$ whose value is $13$ .