Question

which term of GP 3,6,12,24....... is 3072

Answer 1

nth term of a G.P. is given by the following expression:
$a_{n} = a{r}^{n - 1}$
Here,
$a = 3$
and,
$r = \frac{a_n}{a_n -1}$
So,
$r = \frac{6}{3} = 2$
$3072 = 3. {2}^{n - 1}$
${2}^{n - 1} = \frac{3072}{3} = 1024$
${2}^{n - 1} = {2}^{10}$
$n - 1 = 10$
Therefore,
$n = 11$

Answer 2

given series 3,6,12............3072
a2/a1=r
6/3=2
so ratio is 2
we know nth term of GP is AR=ar^n-1
here a=3
AR=3072
r=2
n=?
3072=(3)(2)^n-1
1024=2^n-1
then n=11
I HOPE THIS WILL HELP U