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Topic: GM > HM > AM
Replies: 2   Last Post: Oct 19, 2013 5:36 AM

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quasi

Posts: 10,226
Registered: 7/15/05
GM > HM > AM
Posted: Oct 19, 2013 4:50 AM
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Do there exist real numbers x_1,...,x_n such that

sum(x_i) > 0

prod(x_i) > 0

sum(1/x_i) > 0

and GM > HM > AM where

AM = (sum(x_i))/n

GM = (prod(x_i))^(1/n)

HM = n/(sum(1/x_i))

??

quasi


Date Subject Author
10/19/13
Read GM > HM > AM
quasi
10/19/13
Read Re: GM > HM > AM
Richard Tobin
10/19/13
Read Re: GM > HM > AM
quasi

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