Q. 35.0( 1 Vote )

Insert 5 geometric means between and .

Answer :

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


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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