Showing posts with label integral calculus. Show all posts
Showing posts with label integral calculus. Show all posts

Thursday, April 30, 2015

Asian Pacific Mathematics Olympiad Mock Problem

Find [MATH]\sum_{x=0}^{101}\frac{\frac{2x}{101}-1}{\frac{3x^2}{10201}-\frac{3x}{101}+1}[/MATH].

At first glance, this looks like a very demanding hard challenge, and you don't even know where to start working on the problem.

But this is necessarily a delicious problem in terms of how well we can milk it for all its worth to benefit students. In case  you might not already know, I am the advocate for teaching students and equip them with analytical thinking and critical problem solving skills, so, this problem can help me to achieve my aim.