 Hello and welcome to the session. I am Deepika here. Let's discuss the question Whether the following is in an AP if they form an AP find the common difference and write three more terms two, four, eight, sixteen and so on. Now we know that the list of terms A1, A2, A3 and so on forms an AP If the difference of a term is constant, this constant is known as a common difference of AP. This is the first term. It can easily be written 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 If it is not then this list of numbers does not form an AP. So this is a key idea behind our question. I hope This is clear to you So let's start the solution. Our given list of numbers is minus 2 minus A2. This is 8 minus 4 Which is equal to 4. A1 is not equal to A3 minus A2 Therefore the given list of numbers does not form an AP. The answer for this question is no The given list of numbers does not form an AP. I Hope the question is clear to you. Bye and take care