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Rajan@2021
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Which term of the AP 20, 19 1/2, 18 1/2, 17 3/4,….us its first negative term?

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One of the most important question from arithmetic progression chapter in which we have been given a series of AP 20, 19 1/2, 18 1/2, 17 3/4 and we have to find its first negative term?

Book RS Aggarwal, Class 10, Arithmetic Progression, chapter 5A, question no 25.

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1 Answer

  1. 20,19 1/4, 18 1/2,....
    or 20,77​/4,37/2,....
    a=20
    d=77​/420=−3/4
    Let nth term of A.P. be first negative term
    So, 20+(n1)(4−3)<0
    803n+3<0
    3n>83
    n>27 2/3
    Hence, 28th term is first negative term.

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