Question

Which term of the g.P.2,8,32,........Is 2048

Answer 1

Answer:

11th term

Step-by-step explanation:

$2048 = {2}^{11}$

Answer 2

6th term of the G.P is 2048.

Step-by-step explanation:

Given, G.P = 2, 8, 32,.........

Here first term = $a_{1}$ = 2

Common ratio = r = $\frac{8}{2} = \frac{32}{8} = 4$

nth term = $a_{n} = a_{1} r^{n-1}$

=> $a_{1}r^{n-1}$ = 2048

=> $2(4)^{n-1}= 2048$

=> $4^{n-1} = \frac{2048}{2} = 1024$

=> $4^{n-1} = 4^{5}$

=> n - 1 = 5

=> n = 5 + 1 = 6

Hence, 6th term of the G.P is 2048.