Answer : Given GP is √3, 3, 3√3….

The given GP is of the form, a, ar, ar2, ar3…. Where r is the common ratio.

First term in the given GP, a1 = a = √3 Second term in GP, a2 = 3

Now, the common ratio,

Let us consider 729 as the nth term of the GP. Now, n^th term of GP is, an = ar^{n – 1}

729 = √3 (√3) n – 1

√3n = √312 n = 12

So, 729 is the 12th term in GP.