Friday, August 27, 2010
1st Asian Pacific Mathematics Olympiad 1989 Problems
1st Asian Pacific Mathematics Olympiad 1989 ProblemsA1. ai are positive reals. s = a1 + ... + an. Prove that for any integer n > 1 we have (1 + a1) ... (1 + an) < 1 + s + s2/2! + ... + sn/n! .A2. Prove that 5n2 = 36a2 + 18b2 + 6c2 has no integer solutions except a = b = c = n = 0. A3. ABC is a triangle. X lies on the segment AB so that AX/AB = 1/
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 ...
-
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 ...
-
The left margin of this blog is entitled " Internet Integration in the Classroom " and it is composed of a number of great educati...
No comments:
Post a Comment
Note: Only a member of this blog may post a comment.