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What is the 5th GM of 9 GMs inserted between 1 and 243?

Option: 1

9


Option: 2

9\sqrt3


Option: 3

3\sqrt3


Option: 4

27


Answers (1)

best_answer

Here

 r=\left ( \frac{243}{1} \right )^{\frac{1}{n+1}}= \left ( 3^5 \right )^{\frac{1}{10}}= \sqrt{3}

Thus

 G_5=1\times r^5=\left ( \sqrt{3} \right )^{5}= 9\sqrt{3}

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Rishi

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