\(=5\left(\dfrac{5}{1\cdot6}+\dfrac{5}{6\cdot11}+...+\dfrac{5}{26\cdot31}\right)\)
\(=5\left(\dfrac{1}{1}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{11}+...+\dfrac{1}{26}-\dfrac{1}{31}\right)\)
\(=5\left(\dfrac{1}{1}-\dfrac{1}{31}\right)\\ =5\left(\dfrac{31}{31}-\dfrac{1}{31}\right)\\ =5\cdot\dfrac{30}{31}\\ =\dfrac{150}{31}\)