A=1/7+1/91+1/247+1/475+1/775+1/1147
A=6/37
ai tích mình tích lại nha
ta có ;\(A=\frac{1}{1\cdot7}+\frac{1}{7\cdot13}+\frac{1}{13\cdot19}+...+\frac{1}{31\cdot37}\)
\(=\frac{1}{6}.\left(\frac{1}{1}-\frac{1}{7}+\frac{1}{7}-\frac{1}{13}+\frac{1}{13}-\frac{1}{19}+...+\frac{1}{31}-\frac{1}{37}\right)\)
\(=\frac{1}{6}\left(1-\frac{1}{37}\right)=\frac{1}{6}\cdot\frac{36}{37}=\frac{6}{37}\)