Can you find the value of x? ?

In this question $x$ is the sum of all the terms in the series .

The series $24 + 36 + 48 + 60 ...... + 240$ is in A.P with common difference $d = 36 - 24 = 12$ and the first term $a = 24$

First we have to find the number of terms $n$

Last term = $240 = a + (n - 1) d \Rightarrow 240 = 24 + 12(n - 1)$

$\Rightarrow 12(2 + n - 1) = 240 \Rightarrow n + 1 = 20$

So, the number of terms in the series $n = 19$

Now we will find the sum of series using the formula $\frac{n}{2} \times (first-term + last-term)$ (or) $\frac{n}{2} \times (2a + (n - 1)d)$

$\Rightarrow \frac{19}{2} \times (24 + 240) = 19 \times 264 = 2508$

Therefore , $\color{#20A900}\boxed{x = 2508}$