October 28–November 3, 2008

Problem

Prove that for any positive integer n the following inequality holds:

sqrt(2*sqrt(3*sqrt(4*...*sqrt(n)))) < 3

Solution

here.

List of solvers

Mimi Fung (undergrad); Alberto Chiecchio, Dustin Moody (grad); Gary Raymond (staff); Lloyd Sakazaki, Bailey Malone, Mike Goodman (outside).

Mimi Fung wins the prize!