Q) The first two terms in an arithmetic progression are 5 and 9. The last term in the progression is the only term which is greater than 200. Find the sum of all the terms in the progression.

My Attempt

What I did was figure out the difference of each term, which came out to be 4 for me, and it is the correct value.

Next I attempted to get the number of terms in this AP, for that I needed the last term of this AP. So I looked at the first two terms and each are 1 more than the multiple of 4. So as 200 is divisible by 4, I choose 201 as the final term (choose 1 more than the multiple of 4 considering the first two terms)

Is this correct?

Thanks!