Which term of A.P. 3, 8, 13, 18, 23,…., is 98?

In the A.P. 3, 8, 13, 18, 23,…., a = 3 and d = 8 - 3 = 5.

Let n^th term be 98.

∴ a_n = 98

n^th term of an A.P. is given by,

a_n = a + (n - 1)d

⇒ 98 = 3 + (n - 1)5

⇒ 98 - 3 = (n - 1)5

⇒ 95 = (n - 1)5

⇒ (n - 1) = $\dfrac{95}{5}$

⇒ n - 1 = 19

⇒ n = 19 + 1

⇒ n = 20.

Hence, 20th term of A.P. is 98.