Answer : Given GP is 0.4, 0.8, 1.6….

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 = 0.4 Second term in GP, a2 = 0.8

Now, n^th term of GP is, an = ar^{n – 1}

So, the 7th term in the GP, a7 = ar⁶

= 0.4 x 26

= 25.6

nth term in the GP, an = ar^{n – 1}

= (0.4)(2) n – 1

= (0.2)2n

Hence, 7th term = 25.6 and nth term = (0.2)2n