## a fun fractions problem!

Well, it’s been a million years since the last post, but I’ll spare any readers the doleful reasons.  I’m trying to figure out how to be self-disciplined with my writing and learning, so hopefully this summer sees many more posts.

But for now I thought I’d share a little problem that I saw today.  This summer I’m an adviser to a group of high school students who are taking college classes.   A student in a college algebra type course showed me this “bonus” question on the bottom of his quiz:

Find the sum, $\frac{1}{2\cdot 3} + \frac{1}{3\cdot 4} +\frac{1}{4\cdot 5} + \cdots + \frac{1}{99\cdot 100}$.

I won’t spoil your fun by posting a solution, but I encourage you to do so. I’m definitely interested in different solution methods on this one.

Enjoy!