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Rajan@2021
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Guru

In an AP, the first term is -4, the last term is 29 and the sum of all the terms is 150. Find its common difference.

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In the given question it is asked to calculate the common difference, if the first term is -4, the last term is 29 and the sum of all the terms is 150 of an AP.

Book RS Aggarwal, Class 10, chapter 5C, question no 22.

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1 Answer

  1. Let d be the common difference.
    Given:
    First term =a=4
    Last term =l=29
    Sum of all the terms =Sn=150
    Sn=n/2[a+l]
    150=n/2[4+29]
    n=12
    There are 12 terms in total.
    Therefore, 29 is the 12th term of the AP.
    Now, 29=4+(121)d
    29=4+11d
    d=3
    The common difference is 3.

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