Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.


quasi
Posts:
11,740
Registered:
7/15/05


GM > HM > AM
Posted:
Oct 19, 2013 4:50 AM


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



