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Question
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
1, 3, 9, 27 …
Solution
1, 3, 9, 27 …
It can be observed that
a2 − a1 = 3 − 1 = 2
a3 − a2 = 9 − 3 = 6
a4 − a3 = 27 − 9 = 18
i.e., ak+1 − ak is not the same every time.
Therefore, the given numbers are not in A.P.
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