MathDB

3

Part of 1996 Akdeniz University MO

Problems(1)

an easy question

Source:

1/30/2016
A x>2x>2 real number is given. Bob has got 19971997 labels and writes one of the numbers "x0,x1,x2,⋯x1995,x1996""x^0, x^1, x^2 ,\dotsm x^{1995}, x^{1996}" each labels such that all labels has distinct numbers. Bob puts some labels to right pocket, some labels to left pocket. Prove that sum of numbers of the right pocket never equal to sum of numbers of the left pocket.
number theorySum