Insert $4$ G.M.s between $2$ and $486.$

6, 18, 50, 162

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6, 15, 54, 162

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3, 18, 54, 162

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6, 18, 54, 162

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Solution

The correct option is B $6, 18, 54, 162$
Common ratio of the series is given by $r = (\frac{b}{a}) \frac{1}{n + 1} = {(243)}^{1 / 5} = 3$
Hence four G.M.s are $6, 18, 54, 162.$

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4 G.Ms are inserted between 2 and 486. Find the common ratio of the resulting G.P.

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