M=1/3-1/5+1/5-1/7+.....+1/97-1/99
M=1/3-1/199
M=32/99
\(M=\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{97.99}\)
\(M=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{97}-\frac{1}{99}\)
\(M=\frac{1}{3}-\frac{1}{99}\)
\(M=\frac{32}{99}\)
~Học tốt~
\(M=\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{97.99}\)
\(=\)\(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{97}-\frac{1}{99}\)
\(=\)\(1-\frac{1}{99}\)
\(=\)\(\frac{98}{99}\)
vậy \(M=\frac{98}{99}\)