Exploring An Elegant Solution To Imo 2012 Problem 2

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  • The famous (infamous?) "windmill"
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  • The International Mathematical Olympiad (
  • Learn more about Maths Olympiad Program here: https://www.cheenta.com/matholympiad/ Access INMO resources: ...
  • In this video, we explore a beautiful inequality involving positive real numbers whose product is one. Each factor grows with its ...

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Can you prove that (a₂ + 1)²(a₃ + 1)³⋯(aₙ + 1)ⁿ ≥ nⁿ given that a₂a₃⋯aₙ = 1 ? At first glance, this inequality looks ... https://artofproblemsolving.com/community/c3839_2012_imo. IMO 2012 IMO

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