Find whether the given series is an A.P or not. If it is an A.P then find the next three terms and the Common Difference. 0.2, 0.22, 0.222, 0.2222

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The following question has been taken from Ncert book of class 10th excersice number 5.1 & Q. no. 6 (vi). In the question first find that is it an A.P if yes then find the common difference and the next 3 terms.

Solution:0.2, 0.22, 0.222, 0.2222 ….

The difference of the above info. :-

a_{2}–a_{1}= 0.22-0.2 = 0.02a_{3}–a_{2}= 0.222-0.22 = 0.002a_{4}–a_{3}= 0.2222-0.222 = 0.0002Here common difference of each of them is not same time.

So, The above series does not forms a A.P.