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Mathematics · 2020

JEE Main · 3 September 2020, Shift 2 · Q73

If m arithmetic means (A.Ms) and three geometric means (G.Ms) are inserted between 3 and 243 such that 4^th A.M. is equal to 2^nd G.M., then m is…

If m arithmetic means (A.Ms) and three geometric means (G.Ms) are inserted between $\displaystyle 3$ and $\displaystyle 243$ such that $\displaystyle 4^{\text {th }}$ A.M. is equal to $\displaystyle 2^{\text {nd }}$ G.M., then m is equal to \_\_\_\_.
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.