\(\frac{3}{7.10}+\frac{3}{10.13}+...+\frac{3}{97.100}=\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}+...+\frac{1}{97}-\frac{1}{100}=\frac{1}{7}-\frac{1}{100}=\frac{93}{700}\)
\(\frac{3}{7\cdot10}+\frac{3}{10\cdot13}+...+\frac{3}{97\cdot100}\)
\(=\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}+...+\frac{1}{97}-\frac{1}{100}=\frac{1}{7}-\frac{1}{100}=\frac{93}{700}\)
\(\frac{3}{7\times10}+\frac{3}{10\times13}+...+\frac{3}{97\times100}\)
\(=\frac{3}{7}-\frac{3}{10}+\frac{3}{10}-\frac{3}{13}+...+\frac{3}{97}-\frac{3}{100}\)
\(=\frac{1}{7}-\frac{1}{10}+\frac{1}{10}-\frac{1}{13}+...+\frac{1}{97}-\frac{1}{100}\)
\(=\frac{1}{7}-\frac{1}{100}\)
\(=\frac{93}{100}\)
hok tốt
À mik quên = \(\frac{93}{700}\)nha