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Find the number of terms in each of the following A.P. Q.5(2)

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In exercise 5.2 of arithmetic progressions of class 10th. How i solve this important question of class 10th, because it is very important as regarding to board exams Find the number of terms in each of the following A.P.

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  1. First term, a = 18

    Common difference, d = a2-a1 =
    Ncert solutions class 10 chapter 5-4

    d = (31-36)/2 = -5/2

    Let there are n terms in this A.P.

    an = 205

    As we know, for an A.P.,

    an = a+(n−1)d

    -47 = 18+(n-1)(-5/2)

    -47-18 = (n-1)(-5/2)

    -65 = (n-1)(-5/2)

    (n-1) = -130/-5

    (n-1) = 26

    n = 27

    Therefore, this given A.P. has 27 terms in it.

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