Question 4 (xv)
Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.
(xv) 12,52,72,73, …
If the difference between any two consecutive terms of a series is a constant value, then the series is an A.P.
Given, the series is :
i.e, 1,25,49,73, ...
Note that the difference between any two consecutive terms of the series is a constant value.
Therefore,d =24 and the given numbers are in A.P.
Next three terms are: