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.
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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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Solution:
0.2, 0.22, 0.222, 0.2222 ….
The difference of the above info. :-
a2 – a1 = 0.22-0.2 = 0.02
a3 – a2 = 0.222-0.22 = 0.002
a4 – a3 = 0.2222-0.222 = 0.0002
Here common difference of each of them is not same time.
So, The above series does not forms a A.P.