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.

Finite Mathematics Chapter Ten: Sets A set is collection of objects. Elements are individual members of a set. Sets are typically expressed in one of two ways. The roster method simply lists all the of the elements of a set. A = {a,e,i,o,u} SetBuilder notation provides a rule that defines the set. A = {x | x is a vowel} The symbol greek ‘e’ indicates...