Insert 5 geometric means between 16 and .

Let the five terms be a1, a2, a3, a4, a5.


And,


A = 16, B


Now, these 5 terms are between A and B.


A, a1, a2, a3, a4, a5, B.


Now all of them are in GP


So we now have 7 terms in GP with the first term being 16 and seventh being 1/4.


Tn = arn–1


Here Tn , a = 16 and





a1 = Ar =


a2 = Ar2 =


a3 = Ar3 =


a4 = Ar4 =


a5 = Ar5 =


The six GM between 16 and 1/4 are .


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