Question

Which term of the AP `5/6, 1, 1 1/6, 1 1/3,` ... is 3?

Answer 1

In the given AP, first term = `5/6` and common difference, d = `(1 - 5/6 = 1/6)`
Let its n^th term be 3.

Now, T_n = 3 

⇒ a + (n – 1) d = 3 

⇒ `5/6 + (n - 1) xx 1/6 = 3`

⇒ `2/3 + n/6 = 3`

⇒ `n/6 = 7/3`

⇒ n = 14 

Hence, the 14^th term of the given AP is 3.