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Insert 6 geometric means between 27 and ...

Insert `6` geometric means between `27` and `1/(81)`

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Verified by Experts

Let,

`G_1, G_2, G_3, G_4, G_5, G_6` be `6` are GM

Then, `27, G_1, G_2, G_3, G_4, G_5, G_6, 1/81` are in G.P.

`a=27, b=1/81`

`n=6`

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

`r=(((1)/(81))/27)^(1/(6+1))`

`r=(1/2187)^(1/(7))`

...
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  19. If p^(th), q^(th) and r^(th) terms of G.P. are x,y,x respectively then...

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