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Mathematics 15 Online
OpenStudy (anonymous):

show that the AM>=GM

OpenStudy (anonymous):

AM is arithmetric mean, GM is geometric mean

OpenStudy (anonymous):

\[AM \ge GM\]

OpenStudy (anonymous):

\[x _{1},x _{2},x _{3},...x _{n}\] \[AM=\frac{ x _{1}+...+x _{n} }{ n }\]

OpenStudy (anonymous):

\[GM=\sqrt[n]{x _{1}\times \times \times x _{n}}\]

OpenStudy (anonymous):

eg \[2,4,\] \[AM=3,GM=\sqrt[]{8}\] AM>GM

OpenStudy (anonymous):

so many proofs http://en.wikipedia.org/wiki/AM-GM u can find more and more

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