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Rajan@2021
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How many terms are there in the AP 18, 15 1/2, 13,….,-47?

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We have given a series of AP 18, 15 1/2, 13,….-47 and we have asked to find the number of terms of AP?

Book – RS AGGARWAL

class 10, chapter 5A, question no 9

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1 Answer

  1. The first term a=18 and

    the common difference d=15 1/218=2.5

    the last term is 47

    Let the last term be the nth term

    We know that the nth term of the arithmetic progression is given by a+(n1)d

    Therefore, a+(n1)d=47

    18+(n1)(2.5)=47

    18+2.52.5n=47

    20.52.5n=47

    2.5n=20.5+47

    n=67.5/2.5

    n=27
    Therefore, the number of terms in the given sequence is 27

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