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Deepak Bora
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12, 32, 52, 72 … Find that the given series is an A.P or not if it is then find the common difference and next three terms of the question.

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The above question is from NCERT Book class 10th Chapter number 5 Ex. 5.1 Q. 14 (xiv). In the given question find that the  series is an A.P. Then find the ” d “and the next three  values of the series. Give the solution of the above question.

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  1. Solution:

    12, 32, 52, 72 …

    Or

    1, 9, 25, 49 …..

    The difference of the values in the above series are:-

    a2 − a1 = 9 − 1 = 8

    a3 − a= 25 − 9 = 16

    a4 − a3 = 49 − 25 = 24

    The common difference is not same in each case.

    Hence, the series is not forming an A.P.

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