Wednesday, November 17, 2010
6th Australian Mathematical Olympiad Problems 1985
A1. Find the sum of the first n terms of 0, 1, 1, 2, 2, 3, 3, 4, 4, ... (each positive integer occurs twice). Show that the sum of the first m + n terms is mn larger than the sum of the first m - n terms. A2. Show that any real values satisfying x + y + z = 5, xy + yz + zx = 3 lie between -1 and 13/3. A3. A graph has 9 points and 36 edges. Each edge is
Subscribe to:
Post Comments (Atom)
Popular Posts
-
Boxhead The Zombie Wars Infomation: Fight an army of zombies using awesome new weapons How to play: WADS Keys to move. Space to shoot. Z to ...
-
Check the flag is a fun and simple puzzle game . In this game your task is to make the enemy flag with the army you have...
-
A1. Show that there are arbitrarily large numbers n such that: (1) all its digits are 2 or more; and (2) the product of any four of ...
No comments:
Post a Comment
Note: Only a member of this blog may post a comment.