Answer : The given GP is 8, 4, 2… 1/1024
First term in the GP, a1 = a = 8 Second term in the GP, a2 = ar = 4
The common ratio,
The last term in the given GP is 1/1024
Second last term in the GP = an-1 = arn-2
Starting from the end, the series forms another GP in the form, arn-1, arn-2, arn-3….ar3, ar2, ar, a → (2)
So, 6th term of the GP (2), a6 = ar5
Common ratio of this GP is . So, common ratio = 2
Hence, the 6th term from the end of the given GP is 1/32