Inequalities: Show Arithmetic Mean is Greater than Equal to Geometric Mean

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Inequality with a difference.
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Thanks for the Crystal clear explanation sir...It is very easy to follow.

saranyak
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Wasn't the initial condition that a and b are >0. Why then do we get a-b in the end, b is clearly negative.

OriginalAtomicSheep
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Good proof - easy to follow.

Can you show a proof for the AM GM inequality when there are more than 2 terms? i.e.

a + b + c + ... + n

Thanks!

brothertats