Which term of the AP 21, 42, 63, 84, ... is 210?
In the given AP, the first term = a = 21
Common difference = d = 42 - 21 = 21
To find: place of the term 210.
So, let an = 210
Since, we know that
an = a + (n - 1) × d
∴ 210 = 21 + (n - 1) × (21)
⇒ 210 = 21 + 21n - 21
⇒ 210 = 21n
⇒ n = 10
∴ 10th term of the AP is 210.