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  4. 4 GM are insested between 3 and 729 then the 3° GM is

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Q. $4 \,GM$ are insested between $3$ and $729$ then the $3^{\circ} GM$ is

Sequences and Series

Solution:

Let $G_1,G_2,G_3,G_4$, are 4 GM’s between 3 and $729 $
$\Rightarrow r=\left(\frac{729}{3}\right)^{1 / 5}=3 $
$\Rightarrow G_3=3(r)^3=81$