Question

Which term of GP 2,8,32 is 2048

Answer 1

Answer: 6th

Step-by-step explanation:

The common ratio = r = 8/2 =32/8 = 4

a = The first term = 2

The nth term = 2048 = a*(r^n-1)

                      = 2048 = 2*(4^n-1)            

                      = 1024  = 4^n-1

                      = 4^5 = 4^n-1  

As the bases are equal , their indices are also equal.

5 = n-1

n = 5+1 =6

2048 occupies the 6th position in the G.P