Find whether the given series is an A.P. Then find c.d & the next 3 terms of the series. 1, 3, 9, 27

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This question is from NCERT Book class 10th Ch. no.5 Ex. 5.1 Q. 9(ix). In the given question find if the given series is an A.P then find the common difference and the next three terms of the series. Give the solution of the above Question.

Solution:1, 3, 9, 27

The difference of the above series is :-

a_{2}–a_{1}= 3-1 = 2a_{3}–a_{2}= 9-3 = 6a_{4}–a_{3}= 27-9 = 18Here the common difference is not same.

So, the given series doesn’t form a A.P.