# 200 Terms? Are You Crazy?

Algebra Level 3

$\frac11+ \frac1{1+2} +\frac1{1+2+3} +\ldots+\frac1{1+2+3+\ldots+200}$

If the expression above equals to $$\frac ab$$ for coprime positive integers $$a$$ and $$b$$, what is the value of $$a+b$$?

×