Which term of the A.P. 7, 13, 19, 25,….. is 241?

1. 40th

2. 36th

3. 44th

4. 45th

Given,

A.P. : 7, 13, 19, 25,…….

a = 7

d = 13 - 7 = 6

Let nth term be 241.

T_n = 241

⇒ a + (n - 1)d = 241

⇒ 241 = 7 + (n - 1)6

⇒ 241 - 7 = (n - 1)6

⇒ 234 = (n - 1)6

⇒ $\dfrac{234}{6}$ = n - 1

⇒ n - 1 = 39

⇒ n = 39 + 1

⇒ n = 40.

Hence, option 1 is the correct option.