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Abstract Algebra: Theory and Applications
· Problem 2.4.7
Groups — Thomas Judson
Mathematics — Abstract Algebra · am-gm-inequality
Problem
Show that
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\sqrt[n]{a_1 a_2 \cdots a_n} \leq \frac{1}{n} \sum_{k=1}^{n} a_k.
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Related theory
Relationship Between Am And Gm
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