Question

A = 5^2 / 6.11 + 5^2 / 11.16 + 5^2 / 16.21.....+ 5^2 / 91.96

Answer 1

Ta có : 

\(A=\frac{5^2}{6.11}+\frac{5^2}{11.16}+\frac{5^2}{16.21}+...+\frac{5^2}{91.96}\)

\(A=5\left(\frac{5}{6.11}+\frac{5}{11.16}+\frac{5}{16.21}+...+\frac{5}{91.96}\right)\)

\(A=5\left(\frac{1}{6}-\frac{1}{11}+\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+...+\frac{1}{91}-\frac{1}{96}\right)\)

\(A=5\left(\frac{1}{6}-\frac{1}{96}\right)\)

\(A=5.\frac{5}{32}\)

\(A=\frac{25}{32}\)

Vậy \(A=\frac{25}{32}\)

Chúc bạn học tốt ~