Which term of the AP is 3?
In the given AP, the first term = a = 5/6
Common difference = d = 1 - 5/6 = 1/6
To find: place of the term 3.
So, let an = 3
Since, we know that
an = a + (n - 1) × d
∴ 3 = (5/6) + (n - 1) × (1/6)
⇒ 3 - (5/6) = (n - 1) × (1/6)
⇒ 13/6 = (n - 1) × (1/6)
⇒ 13 = n - 1
⇒ n = 13 + 1
⇒ n = 14
∴ 14th term of the AP is 3.