mình cần gấp lắm có ai giúp giupf mình với!
Mình ko chắc lắm, nếu sai thì xin lỗi nhiều
\(A=\frac{2}{1.4}+\frac{2}{4.7}+\frac{2}{7.10}+...+\frac{2}{97.100}\)
\(A=2.\left(\frac{1}{1.4}+\frac{1}{4.7}+\frac{1}{7.10}+...+\frac{1}{97.100}\right)\)
\(A=2.\left(\frac{1.3}{1.4.3}+\frac{1.3}{4.7.3}+\frac{1.3}{7.10.3}+...+\frac{1.3}{97.100.3}\right)\)
\(A=2.\frac{1}{3}.\left(\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+...+\frac{3}{97.100}\right)\)
\(A=2.\frac{1}{3}.\left(\frac{4-1}{1.4}+\frac{7-4}{4.7}+\frac{10-7}{7.10}+...+\frac{100-97}{97.100}\right)\)
\(A=\frac{2}{3}.\left(\frac{4}{1.4}-\frac{1}{1.4}+\frac{7}{4.7}-\frac{4}{4.7}+\frac{10}{7.10}-...-\frac{97}{97.100}\right)\)
\(A=\frac{2}{3}.\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-...-\frac{1}{100}\right)\)
\(A=\frac{2}{3}.\left(1-\frac{1}{100}\right)\)
\(A=\frac{2}{3}.\frac{99}{100}\)
\(A=\frac{33}{50}\)
