\(E=\dfrac{1}{3.5}+\dfrac{1}{5.7}+...+\dfrac{1}{2016.2018}\)
\(E=\dfrac{1}{2}.\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{2016}-\dfrac{1}{2018}\right)\)
\(E=\dfrac{1}{2}.\left(\dfrac{1}{3}-\dfrac{1}{2018}\right)\)
\(E=\dfrac{1}{2}.\dfrac{2015}{6054}\)
\(E=\dfrac{2015}{12108}\)