Answer
The statement makes sense.
Work Step by Step
We use the equation and check the value of both sides for $ n=8$.
For the left-hand side:
$\begin{align}
& 1+2+3+4+\cdots +8=\left( 1+8 \right)+\left( 2+7 \right)+\left( 3+6 \right)+\left( 4+5 \right) \\
& =9+9+9+9 \\
& =36
\end{align}$
For the right-hand side:
$\begin{align}
& \frac{n\left( n+1 \right)}{2}=\frac{8\left( 8+1 \right)}{2} \\
& =\frac{8\left( 9 \right)}{2} \\
& =4\left( 9 \right) \\
& =36
\end{align}$
Since, both the left-hand side and the right-hand side are equal, we know that the above statement makes sense.
