Question

Tính giá trị của biểu thức: \(C=\frac{7^2}{2.9}+\frac{7^2}{9.16}+\frac{7^2}{16.23}+...+\frac{7^2}{65.72}\)

Answer 1

\(C=\frac{7^2}{2.9}+\frac{7^2}{9.16}+\frac{7^2}{16.23}+...+\frac{7^2}{65.72}\)

\(C=\frac{7^2}{7}.\left(\frac{1}{2}-\frac{1}{9}+\frac{1}{9}-\frac{1}{16}+\frac{1}{16}-\frac{1}{23}+...+\frac{1}{65}-\frac{1}{72}\right)\)

\(C=7.\left(\frac{1}{2}-\frac{1}{72}\right)\)

\(C=7.\frac{35}{72}=\frac{245}{72}\)

Answer 2

Ta có : \(C=\frac{7^2}{2.9}+\frac{7^2}{9.16}+\frac{7^2}{16.23}+.....+\frac{7^2}{65.72}\)

\(\Rightarrow C=7\left(\frac{7}{2.9}+\frac{7}{9.16}+\frac{7}{16.23}+.....+\frac{7}{65.72}\right)\)

\(\Rightarrow C=7\left(\frac{1}{2}-\frac{1}{9}+\frac{1}{9}-\frac{1}{16}+.....+\frac{1}{65}-\frac{1}{72}\right)\)

\(\Rightarrow C=7\left(\frac{1}{2}-\frac{1}{72}\right)\)

\(\Rightarrow C=7.\frac{35}{72}=\frac{245}{72}\)

Answer 3

\(C=7\left(\frac{1}{2}-\frac{1}{9}+\frac{1}{9}-.....+\frac{1}{65}-\frac{1}{72}\right)..\)

\(C=7\left(\frac{1}{2}-\frac{1}{72}\right)..\)

\(C=?\)