# 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.

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