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Deepak Bora
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2, 5/2, 3, 7/2. If this question form an A.P. Give the c.d and write three more terms.

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This question is of class 10th NCERT Book Chapter no.5 Q. 2(ii). In the following question you have to find that is the series an A.P and if yes then find the C.D & the next 3 terms of the A.P.  Give the answer.

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  1. Solution:

    2, 5/2, 3, 7/2 ….

    Now,

    a2 – a1 = 5/2-2 = 1/2

    a3 – a2 = 3-5/2 = 1/2

    a4 – a3 = 7/2-3 = 1/2

    The common difference or c.d is same every time.

    d = 1/2

    Three terms in the series are;

    a5 = 7/2+1/2 = 4

    a6 = 4 +1/2 = 9/2

    a7 = 9/2 +1/2 = 5

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