4
Part of 1997 Akdeniz University MO
Problems(2)
divide a plane
Source:
1/30/2016
A plane dividing like a chessboard and write a real number each square such that, for a squares' number equal to its up, down ,left and right squares' numbers arithmetic mean. Prove that all number are equal.
combinatorics
Polygon numbers
Source:
1/30/2016
A polygon with vertices is given. Write a positive real number each vertex such that, each number equal to its right and left numbers' arithmetic or geometric mean. Prove that all numbers are equal.
polygoncombinatorics