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

2, 22, 23, 24

We have a1 = 2 , a2 = 22, a3 = 23 and a4 = 24


a2 - a1 = 22 - 2 = 4 - 2 = 2


a3 - a2 = 23 - 22 = 8 - 4 = 4


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


2