Question

The sum of the first $50$ natural numbers is

• A. $1175$
• B. $1275$
• C. $1257$
• D. none of these

Answer 1

The correct option is B

$1275$

Sum of first natural number

explanation for correct Option:

The first $50$ natural numbers are $1,2,3\dots .50$.

The sum of first $n$ natural numbers is $\frac{n(n+1)}{2}$

Sum is calculated as follow:

$\begin{array}{rcl}\mathrm{Sum}& =& \frac{50(50+1)}{2}\\ & =& \frac{50\times \left(51\right)}{2}\\ & =& 25\times 51\\ & =& 1275\end{array}$

Thus, the sum of the first $50$ natural numbers is $1275$.

Hence, option (B) is the correct answer.