Find the 4th term from the end of the GP.
The given GP is .→ (1)
The first term in the GP,
The second term in the GP,
The common ratio,r = 3
The last term in the given GP is an = 162.
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,.
So, 4th term of the GP (2),
a4 = ar3
=
Hence, the 4th term from the end of the given GP is 6.