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Family of 3's

Level 2

$\large \sqrt[a_1]{3 \ \sqrt[a_2]{3^2 \ \sqrt[a_3]{3^3 \ \sqrt[a_4]{\cdots}}}}= \ ?$

where $a_n=3n+1$ . Report your answer to two decimal places.

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Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

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including olympiad champions, researchers, and professionals.

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by Mrigank Shekhar Pathak

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