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