Find the 10th term form the end of the AP 4, 14, … , 254.

First term, a = 4

Common difference, a2 – a1 = 14 – (4) = 10

Let the no of terms be n

We know, that nth term of an AP is 

an =a + (n – 1)d

where a is first term and d is common difference.

254 = 4 + (n – 1)10

⇒ 250 = (n – 1)10

⇒ n – 1 = 25

⇒ n = 26

10th term from last will be 17th term from starting

And a10 = a + 16d

= 4 + 16(10)

= 164

10