Showing posts with label partial fraction. Show all posts
Showing posts with label partial fraction. Show all posts

Sunday, June 7, 2015

Analysis: Quiz 9 Mock IMO Algebra Contest

Sum the series below:

[MATH]\sum_{n=4}^{999}\dfrac{1}{\sqrt[3]{n^2-2n+1}+\sqrt[3]{n^2+2n+1}+\sqrt[3]{n^2-1}}.[/MATH]

Question 1: Do you think the expression on the denominator can be factored?
Yes.

No.

This is a really rich way to asking problem so we make the students to think deep before simply giving out the answer yes or no so easily.

Saturday, June 6, 2015

Quiz 9: Mock IMO Algebra Contest