Let a1 , a2, …. an be positive real numbers. The
Chapter 5, Problem 63E(choose chapter or problem)
Problem 63E
Let a1 , a2, …. an be positive real numbers. The arithmetic mean of these numbers is defined by
A = (a1+ , a2,+ …. +an )/n.
and the geometric mean of these numbers is defined by
G = (a1 a2, …. an)1/n.
Use mathematical induction to prove that A ≥ G.
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