if I have 3 numbers, G(5,5,5)=

and A(5,5,5)=

in a statement, the mean of any set of identical numbers, no matter the size, will always be equal to every number in the set. G(C,C,C,C,C,C,...C)=

A(C,C,C,C,C,C,...C)=

where n is the number of terms in the set of numbers having their means, geometric and arithmetic respectively, taken. is that not true? I am using one set of numbers, and running it through 2 scalar value functions from

in the event all of the terms in my number set being equal, the means, neccesarilly, will be equal to every other term in my set. and since the two scalar value functions have the same outbput in

I am saying, I guess the better word is that they are equivalent at that point, meaning that they yeild the same value. Am I right? so I would say, for this case,

Or am I still off on something. and again, the limiter of this equation is that all of the numbers in my set MUST be positive, or this no longer holds true, but otherwise this is the only case when the two means will be equivalent.