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Deepak Bora
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Find the common difference. If 17th term of an A.P exceeds its 10th term by 7.

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The question is given from NCERT Book of class 10th Ch. no. 5 Ex. 5.2 Q. 10. In the following question you have to find the common difference if 17th term of the A.P exceeds the 10th term by 7. Give the solution.

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  1. Solution:

    For an A.P we know,

    an = a + (n−1)d

    a17 = a + (17−1)d

    a17 = a + 16d

    Like above,

    a10 = a + 9d

    Given in the above question,

    a17 − a10 = 7

    Hence,

    (a + 16d)−(a + 9d) = 7

    7d = 7

    d = 1

    So, the common difference is 1.

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