Question 4 (vi)
Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.
(vi) 0.2, 0.22, 0.222, 0.2222 ….
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 :
0.2,0.22,0.222,0.2222, …
Here,
a2−a1=0.22−0.2=0.02a3−a2=0.222−0.22=0.002a4−a3=0.2222−0.222=0.0002
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.