Q7 of 176 Page 8

Which term of A.P. 3, 8, 13, 18, ..., is 248 ?

Here, a = 3, d = 8 – 3 = 5 and an = 248


To find : n


We have,


an = a + (n – 1)d


⇒ 248 = 3 + (n – 1) × (5)


⇒ 248 = 3 + 5n – 5


⇒ 248 = –2 + 5n


⇒ 248 + 2 = 5n


⇒ 250 = 5n


⇒ n = 50


Therefore, the 50th term of the given AP is 248.


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