Problem A. 436. (October 2007)
A. 436. Prove that
for every positive integer n.
Deadline expired on November 15, 2007.
Solution. Let and . Then , since is irrational.
The numerator is an integer which is not 0. In the denominator we have
We obtained that
7 students sent a solution. 5 points: Korándi Dániel, Lovász László Miklós, Nagy 235 János, Tomon István. 3 points: 1 student. 1 point: 1 student. Unfair, not evaluated: 1 solution.