Chapter 12, Problem 13RE

To determine

To find:The given sum.

Answer to Problem 13RE

The given sumis $3825$ .

Explanation of Solution

Given information:

The sumis ${\displaystyle \sum _{k=1}^{50}\left(3k\right)}$ .

Calculation:

The sum is,

  $\begin{array}{c}{\displaystyle \sum _{k=1}^{50}\left(3k\right)}=3{\displaystyle \sum _{k=1}^{50}k}\\ =3\left(\frac{50\left(50+1\right)}{2}\right)\\ =3\left(\frac{50\left(51\right)}{2}\right)\\ =3\left(1275\right)\\ =3825\end{array}$