Which term of the GP 3, 6, 12, 24…. Is 3072?

Given GP is 3, 6, 12, 24….

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 = 6

Now, the common ratio,

Let us consider 3072 as the n^th term of the GP.

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

3072 = 3.2^{n – 1}

ⁿ

2ⁿ = 2¹¹

n = 11

So, 3072 is the 11^th term in GP.