#1
|
|||
|
|||
Two Olympiad Problems
1) Show that 1! + 2! + 3! + ...+ n! is not the square of any integer for n>3 .
2)Prove that of all the triangles with a given area K , the equilateral triangle has the shortest perimeter . Neither of these problems should be too problematic but their solutions are simple . If you have an elegant solution to these problems then please post them . Good luck ! |
Thread Tools | |
Display Modes | |
|
|