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.