 Hello and welcome to the session. I am Deepika here. Let's discuss the question whether the following form an AP if they form an AP find the common difference D and write three more terms 1 square, 5 square, 7 square, 73 and so on. Solution, our given list of terms are 1 square, 5 square, 7 square, 73 and so on. We have a 2 minus a 1 is equal to 5 square minus 1 square which is equal to 25 minus 1 that is equal to 24 a 3 minus a 2 is equal to 7 square minus 5 square which is equal to 49 minus 25 that is again equal to 24 Again a 4 minus a 3 is equal to 73 minus 7 square which is equal to 73 minus 49 that is equal to 24 that is a k plus 1 minus a k is the same every time. Hence the given list of terms form an AP with common difference D D is equal to 24 decide the next three terms next three terms are 73 plus 24 which is equal to 97 plus 24 is equal to 121 and 121 plus 24 is equal to 145. Hence the answer for the above question is yes the given set of numbers forms an AP with common difference D is equal to 24 and the next three terms are 97, 121 and 145. I hope the question is clear to you. Bye and take care