Question

Which term of the AP 3, 8, 13, 18, ... is 88?

Answer 1

In the given AP, first term, a = 3 and common difference, a = (8 – 3) = 5.

Let’s its n^th term be 88

Then, T_n = 88

⇒ a + (n – 1) d = 88 

⇒ 3 + (n – 1) × 5 = 88

⇒ 5n – 2 = 88

⇒ 5n = 90

⇒ n = 18

Hence, the 18^th term of the given AP is 88.