Question

The sum of all the natural numbers from $1$ to $300$ is equal to

• A. $3000$
• B. $3003$
• C. $3033$
• D. $noneofthese$

Answer 1

The correct option is D $noneofthese$

Solution:-

Give series will be-

$1,2,3,.....,300$

Here,

First term $\left(a\right)=1$

No. of terms $\left(n\right)=300$

Last term $\left(l\right)=300$

Therefore,

Sum of all the natural numbers from $1$ to $300$-

$S_n=\frac{n}{2}(a+l)$

$\Rightarrow S_n=\frac{300}{2}(1+300)$

$\Rightarrow S_n=150\times 301=45150$