Exploring An Elegant Solution To Imo 2012 Problem 2

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  • 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. imo1992problem2 # IMO 2012

TIMESTAMPS: 00:00 Intro 45 - 75/105 - 210 Take 10 00:22 First thing I notice 01:10 The first exploration steps 04:28 The second ...

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