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Deepak Bora
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Which term of this Arithmetic Progression 3, 8, 13, 18, .… is 78 ?

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This question is from Ncert Book class 10th Ch. number 5 Ex. 5.2 Q. 4 . In the following question you have to  find out which term of the A.P given above will be 78. Also give the full solution of the question.

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  1. Solution:

    A.P is given as 3, 8, 13, 18, …

    a = 3

    d = a2 − a1 = 8 − 3 = 5

    Let the nth term of the A.P. be 78.

    We know,

    an = a+(n−1)d

    Then,

    78 = 3+(n −1)5

    75 = (n−1)5

    (n−1) = 15

    n = 16

    The 16th term of this A.P is 78.

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