Đặt $A=\dfrac{1}{1.5} + \dfrac{1}{5.9} + \dfrac{1}{9.13} + .... + \dfrac{1}{81.85}$
$⇔4A= \dfrac{4}{1.5} + \dfrac{4}{5.9} + \dfrac{4}{9.13} + .... + \dfrac{4}{81.85}$
$⇔4A = \dfrac{1}{1} - \dfrac{1}{5} + \dfrac{1}{5} - \dfrac{1}{9} + \dfrac{1}{9} - \dfrac{1}{13} + .... + \dfrac{1}{81} - \dfrac{1}{85}$
$⇔ 4A = 1 - \dfrac{1}{85}$
$⇔4A=\dfrac{84}{85}$
$⇔A=\dfrac{21}{85}$