Answer : Given: GP is 2, 6, 18, 54….

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

Now, n^th term of GP is, an = ar^{n – 1}
First term in the given GP, a1 = a = 2 Second term in GP, a2 = 6

So, the 6th term in the GP, a6 = ar⁵

= 2 x 35

= 486

nth term in the GP, an = ar^{n – 1}

= 2.3n – 1

Hence, 6th term = 486 and nth term = 2.3n – 1