(Q18).Find the number of terms in each of the following APs:

(i) 7, 13, 19, ….., 205

Given: A.P: 7, 13, 19, ……….

Here a1 = a = ; d = a2 – a1 = =

Let be the nth term of the given A.P.

Then, an = a + (n – 1) d

= + (n- 1)

= + n –

= n +

n = =

∴ n =
=

terms are there.