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Which term of the A.P. 3, 8, 13, 18, … is 78? Q.4

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The important question from arithmetic progressions of ncert of exercise 5.2 of math. How i solve this question in easy way. It is very important for class 10th board exam Which term of the A.P. 3, 8, 13, 18, … is 78?

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  1. Given the A.P. series as3, 8, 13, 18, …

    First term, a = 3

    Common difference, d = a2 − a1 = 8 − 3 = 5

    Let the nth term of given A.P. be 78. Now as we know,

    an = a+(n−1)d

    Therefore,

    78 = 3+(n −1)5

    75 = (n−1)5

    (n−1) = 15

    n = 16

    Hence, 16th term of this A.P. is 78.

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