Chapter 11.2, Problem 7CYU

To determine

Find the sum of first 50 natural numbers.

Answer to Problem 7CYU

1275

Explanation of Solution

Given:

Find the sum of first 50 natural numbers.

Concept Used:

The general rule of sum of first n number of natural number is: ${\text{S}}_{\text{n}}=\frac{n(n+1)}{2}$

Calculation:

The general rule of sum of first n number of natural number is: ${\text{S}}_{\text{n}}=\frac{n(n+1)}{2}$

  $\begin{array}{l}n=50,\text{find}{\text{S}}_{\text{50}}\\ {\text{S}}_{\text{n}}=\frac{n(n+1)}{2}\\ {\text{S}}_{50}=\frac{50(50+1)}{2}=\frac{50·51}{2}=1275\end{array}$

Thus, the sum of first 50 natural number is 1275