(3n + 4)/2n + 3).

Let n=1 and we have 7/6.

As we increase n we are going to generate instances of the given expression.  

Excel is showing me that as n increases the quotient approaches 1.5.

Certainly not a  proof.

An earlier comment was made about Russians and simplicity.  I assume that was "tongue in cheek".  I mean the IMO will have a difficulty range for the contestants. 

I also assume that Ady may have acquired this via a Russian source since he has IMO in his text (International Mathematical Olympiad)  see http://www.imo-official.org/problems.aspx for what might have been on offer for the past, and maybe some inspirations.