Đặt \(A=\dfrac{5}{2.1}+\dfrac{4}{1.11}+\dfrac{3}{11.2}+\dfrac{1}{2.15}+\dfrac{13}{15.4}\)
\(\dfrac{A}{7}=\dfrac{5}{2.7}+\dfrac{4}{7.11}+\dfrac{3}{11.14}+\dfrac{1}{14.15}+\dfrac{13}{15.4}\)
\(\dfrac{A}{7}=\dfrac{1}{2}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{11}+...+\dfrac{1}{15}-\dfrac{1}{28}\)
\(\dfrac{A}{7}=\dfrac{1}{2}-\dfrac{1}{28}\)
\(\dfrac{A}{7}=\dfrac{13}{28}\)
\(A=\dfrac{13}{28}.7\)
\(A=\dfrac{13}{4}\)
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