# 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.

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