 Hi and welcome to the session. I am Deepika here. Let's discuss the question whether the following is an AP. If they form an AP, find the common difference E and write three more terms 0, minus 4, minus 8, minus 12 and so on. We know that in an AP every succeeding term is obtained by adding D to the preceding term. So D found by subtracting any term from its succeeding term that is a term which immediately follows it should be same for an AP. So let's start the solution. Our given list of numbers is 0, minus 4, minus 8, minus 12 and so on. We have say 1 equal to minus 4 minus 0 which is equal to minus 4. Again a3 minus a2 is equal to minus 8, minus of minus 4 that is plus 4 which is equal to minus 4 plus a3 is equal to minus 12 plus 8 which is equal to minus 4 plus 1 plus ak is the given list of numbers given list of numbers common difference D is equal to minus 4. Now the next three terms are minus 12 plus D that is minus 4 which is equal to minus 16 and minus 16 plus D is minus 20 and minus 20 plus minus 4 is equal to minus 24. Our answer for the above question is yes the given list of numbers forms an AP with D is equal to minus 4 and the next three terms are minus 16 minus 20 and minus 24. I hope the question is clear to you. Bye and enjoy yourself.