\(\left(\frac{5}{10\cdot12}\right)+\left(\frac{5}{12\cdot14}\right)+...+\left(\frac{5}{146\cdot148}\right)\)
\(=5\left[\frac{1}{10\cdot12}+\frac{1}{12\cdot14}+...+\frac{1}{146\cdot148}\right]\)
\(=5\left[\frac{1}{10}-\frac{1}{12}+\frac{1}{12}-\frac{1}{4}+...+\frac{1}{146}-\frac{1}{148}\right]\)
\(=5\left[\frac{1}{10}-\frac{1}{148}\right]\)
\(=5\cdot\frac{69}{740}\)
\(=\frac{69}{148}\)
Không chắc nhá (:
@Trần Nhật Quỳnh@ lag
\(\frac{5}{10\cdot12}+\frac{5}{12\cdot14}+...+\frac{5}{146\cdot148}\)
\(=\frac{5}{2}\left(\frac{2}{10\cdot12}+\frac{2}{12\cdot14}+....+\frac{2}{146\cdot148}\right)\)
\(=\frac{5}{2}\left(\frac{1}{10}-\frac{1}{12}+\frac{1}{12}-\frac{1}{14}+...+\frac{1}{146}-\frac{1}{148}\right)\)
\(=\frac{5}{2}\left(\frac{1}{10}-\frac{1}{148}\right)\)
