\(\frac{1}{5\cdot8}+\frac{1}{8\cdot11}+\frac{1}{11\cdot14}...+\frac{1}{605\cdot608}\)
\(\frac{3}{5\cdot8}+\frac{3}{8\cdot11}+...............+\frac{3}{602\cdot605}\)
Cho S = \(\frac{9}{2\cdot5}+\frac{9}{5\cdot8}+\frac{9}{8\cdot11}+....+\frac{9}{29\cdot32}\). CM : S>1
tính hợp lí
\(\frac{3}{5\cdot8}+\frac{3}{8\cdot11}+\frac{3}{11\cdot4}+.....+\frac{3}{602\cdot605}\)
Bài 1: Rút gọn rồi quy đồng
\(\frac{4\cdot5+4\cdot11}{8\cdot7-4\cdot3}\) \(\frac{-15\cdot8+10\cdot7}{5\cdot6+20\cdot3}\)và \(\frac{2^4\cdot5^2\cdot7}{2^3\cdot5\cdot7^3\cdot11}\)
\(A=\hept{\frac{1}{2\cdot5}+\frac{1}{5\cdot8}+\hept{\begin{cases}1\\8\cdot11\end{cases}+....+\frac{1}{92.95}+\hept{\begin{cases}1\\95\cdot98\end{cases}}}}\)
Mong các bạn giải giúp câu này mình với ! càng nhanh càng tốt
\(tim\)\(so\)\(nguyen\)\(am\)\(a\)
\(a^2-\left(\frac{3}{5}\right)^2=\frac{1}{1\cdot2}+\frac{1}{2\cdot7}+\frac{1}{7\cdot5}+\frac{1}{5\cdot13}+\frac{1}{13\cdot8}+\frac{1}{8\cdot19}+\frac{1}{19\cdot11}+\frac{1}{11\cdot25}\)
\(A=\frac{5^2}{1\cdot6}+\frac{5^2}{6\cdot11}+...+\frac{^{5^2}}{26\cdot31}\)
\(s=\frac{5^2}{1\cdot6}+\frac{5^2}{6\cdot11}+\frac{5^2}{11\cdot16}\)
tại sao