Q. 35.0( 1 Vote )

Insert 5 geometric means between and .

Answer :

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


And,



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 32/9 and seventh being 81/2.


Tn = arn–1


Here Tn = , a = and





a1 = Ar =


a2 = Ar2 =


a3 = Ar3 =


a4 = Ar4 =


a5 = Ar5 =


The six GM between 16 and 1/4 are .


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