http://www.mathisfunforum.com/viewtopic.php?id=4397

Bob

]]>I mean with all the symbols and etc.]]>

For any

we haveAdding

to both sides gives . As this is true for all we haveSince we are given

we must have i.e. .]]>Then we have that

for . We see that all of the numbers are the same. It is now obvious that they must all be zero.]]>Let it be n>=2 a natural number and n rational numbers with the property that,however we pick one of them,the sum of the other n-1 is 0.Show that all the numbers are equal to 0.

xD have fun]]>