Question 4 (xiv)
Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.
(xiv) 12,32,52,72, …
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 :
12,32,52,72, …
Or, 1,9,25,49....
Here,
a2−a1=9−1=8a3−a2=25−9=16a4−a3=49−25=24
Note that the difference between any two consecutive terms of the series is not a constant value.
Hence, the given series is not an AP.