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.


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