Chapter EP, Problem 11.2.4EP

To determine

To find:The sum of the arithmetic series.

Answer to Problem 11.2.4EP

The sum of the arithmetic series is 4320

Explanation of Solution

Given:

$a_1=-1,d=10,n=30$

Calculation:

The sum is calculated as,

$S_n=\frac{n}{2}\left(2a_1+\left(n-1\right)d\right)$

Substitute the values in the above equation.

$\begin{array}{c}{S}_n=\frac{30}{2}\left(2\left(-1\right)+\left(30-1\right)10\right)\\ =15\left(-2+290\right)\\ =15\left(288\right)\\ =4320\end{array}$

Thus, the sum of the arithmetic series is 4320