Ta có: \(S=\frac{1}{5.6}+\frac{2}{6.8}+\frac{3}{8.11}+\frac{4}{11.15}+\frac{5}{15.20}\)
\(\Rightarrow S=\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+....+\frac{1}{15}-\frac{1}{20}\)
\(=\frac{1}{5}-\frac{1}{20}=\frac{4}{20}-\frac{1}{20}=\frac{3}{20}\)