Question

What is the total sum of $1$ to $30$?

Answer 1

Finding the total sum of $1$ to $30$:

We know that,

The sum of the first $n$ natural numbers $\mathbf{=}\frac{\mathbf{n}\left(n+1\right)}{\mathbf{2}}$

Total number of terms from $1$ to $30$ is $n=30$

Using the formula, we get

The total sum of $1$ to $30$ is,

$S=\frac{30\left(30+1\right)}{2}$

$\Rightarrow$$S=15\times 31$

$\Rightarrow$$S=465$

Hence, the total sum of $1$ to $30$ is $465$.