Question

the first five terms of an AP is 240 and then find third term​

Answer 1

The question says that the first five terms of an AP is 240 but I don't see five terms.

If what the person who asked the question meant was that the 'sum' of first five terms of an AP is 240, then here is your answer.

Let the five terms of the AP be as follows:-

(a-2d) , (a-d) , a , (a+d) , (a+2d)

As you can see, these five terms are in AP.

Lets add them up

(a-2d) + (a-d) + a + (a+d) + (a+2d) = 240

5a = 240

a = 48.

Since a is the third term,

the answer is 48