The common ratio of a G.P., whose 4^th term is 27 and 6^th term is 243; is : 1. 9 2. 3 3. 1/3 4. 1/9

Let first term of G.P. be a and common ratio be r. By formula, ⇒ a n = ar n - 1 Given, 4 th term of G.P. is 27. ⇒ a 4 = 27 ⇒ ar 4 - 1 = 27 ⇒ ar 3 = 27 ........(1) Given, 6 th term of G.P. is 243. ⇒ a 6 = 243 ⇒ ar 6 - 1 = 243 ⇒ ar 5 = 243 ........(2) Dividing equation (2) by (1), we get : Hence, Option 2 is the correct option.