Which of the following form of an AP? Justify your answer.

0, 2, 0, 2, …


We have a1 = 0, a2 = 2, a3 = 0 and a4 = 2


a2 - a1 = 2


a3 - a2 = - 2


a4 - a3 = 2


Clearly, the difference of successive terms is not same, therefore given list of numbers does not form an AP.


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