\(A=\frac{10}{1\cdot2}+\frac{10}{2\cdot3}+\frac{10}{3\cdot4}+...+\frac{10}{98\cdot99}+\frac{10}{99\cdot100}\)
\(A=\frac{10}{1}-\frac{10}{2}+\frac{10}{2}-\frac{10}{3}+\frac{10}{3}-\frac{10}{4}+...+\frac{10}{99}-\frac{10}{100}\)
\(A=\frac{10}{1}-\frac{10}{100}\)
\(A=\frac{99}{10}\)
Không chắc nhá
\(A=\frac{10}{1\cdot2}+\frac{10}{2\cdot3}+\frac{10}{3\cdot4}+....+\frac{10}{98\cdot99}+\frac{10}{99\cdot100}\)
\(A=10\left(\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+...+\frac{1}{98\cdot99}+\frac{1}{99\cdot100}\right)\)
\(A=10\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{99}-\frac{1}{100}\right)\)
\(A=10\left(1-\frac{1}{100}\right)=10\cdot\frac{99}{100}=\frac{99}{10}\)
\(A=\frac{10}{1\times2}+\frac{10}{2\times3}+...+\frac{10}{99\times100}\)
\(A=10.\left(\frac{1}{1\times2}+\frac{1}{2\times3}+...+\frac{1}{99\times100}\right)\)
\(A=10.\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{99}-\frac{1}{100}\right)\)
\(A=10.\left(1-\frac{1}{100}\right)\)
\(A=10.\frac{99}{100}\)
\(A=\frac{99}{10}\)
