Ta có: \(A=\dfrac{2}{42}+\dfrac{2}{56}+\dfrac{2}{72}+\dfrac{2}{90}+...+\dfrac{2}{420}\)
=>\(A=2.\left(\dfrac{1}{6.7}+\dfrac{1}{7.8}+\dfrac{1}{8.9}+\dfrac{1}{9.10}+...+\dfrac{1}{20.21}\right)\)
=>\(A=2\left(\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}+...+\dfrac{1}{20}-\dfrac{1}{21}\right)\)
=>\(A=2.\left(\dfrac{1}{6}-\dfrac{1}{20}\right)\)
=>\(A=\dfrac{1}{3}-\dfrac{1}{10}\)
=>\(A=\dfrac{7}{30}\)
Giúp mk câu 4 nha