Hidden Harmonies

Algebra Level 2

11×2+12×3+13×4+...+12016×2017+12017×2018=x\dfrac{1}{1\times2}+\dfrac{1}{2\times3}+\dfrac{1}{3\times4}+...+\dfrac{1}{2016\times2017}+\dfrac{1}{2017\times2018}=x

What is xx?

You don't need to use sigma, though you can.

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