The next year summation

Algebra Level 5

\[ \large \displaystyle \sum_{n=1}^{2017} \dfrac{n}{1\cdot2+2\cdot3+\cdots +n(n+1)} \]

If the above expression is in the form \( \dfrac{A}{B}\), where \(A\) and \(B\) are coprime positive integers, find \(A+B\).


This problem is original.

×

Problem Loading...

Note Loading...

Set Loading...