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Insert 5 geometric means between (32)/9 ...

Insert `5` geometric means between `(32)/9` and `(81)/2`

Text Solution

Verified by Experts

Let,

`G_1, G_2, G_3, G_4, G_5` be `5` are GM

Then, `32/9, G_1, G_2, G_3, G_4, G_5, 81/2` are in G.P.

`a=32/9, b=81/2`

`n=5`

`r=(b/a)^((1)/(n+1))`

`r=((81/2)/(32/9))^(1/(5+1))`

`r=(729/64)^(1/(6))`

...
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