Find the 6th term from the end of GP 8, 4, 2….
The given GP is 8, 4, 2….→ (1)
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.
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)
Common ratio of this GP is .
So, common ratio = 2
So, 6th term of the GP (2),
a6 = ar5
=
Hence, the 6th term from the end of the given GP is.