Chứng minh
\(\frac{118}{78}< \frac{1}{10}+\frac{1}{11}+\frac{1}{12}+...+\frac{1}{49}< \frac{118}{49}\)
Chứng minh
\(\frac{118}{78}< \frac{1}{10}+\frac{1}{11}+\frac{1}{12}+...+\frac{1}{49}< \frac{118}{49}\)
Cho A =\(\frac{1}{1.2}+\frac{1}{3.4}+\frac{1}{5.6}+...+\frac{1}{49.50}\)
B=\(\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{49}+\frac{1}{50}\)
C=\(\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+...+\frac{1}{49}+\frac{1}{50}\)
Chứng minh A = B - 2C
Chứng Minh Rằng:
\(\frac{1}{1.2}+\frac{1}{3.4}+\frac{1}{5.6}+...+\frac{1}{49.50}=\frac{1}{26}+\frac{1}{27}+...+\frac{1}{49}+\frac{1}{50}\)
Chứng minh rằng \(\frac{1}{1.2}+\frac{1}{3.4}+\frac{1}{5.6}+...+\frac{1}{49.50}=\frac{1}{26}+\frac{1}{27}+...+\frac{1}{49}+\frac{1}{50}\)
Chứng minh rằng :
\(\frac{1}{1\cdot2}+\frac{1}{3\cdot4}+\frac{1}{5\cdot6}+...+\frac{1}{49\cdot50}=\frac{1}{26}+\frac{1}{27}+\frac{1}{28}+...+\frac{1}{50}\)
\(A=\frac{\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{49}+\frac{1}{50}}{\frac{100}{1}+\frac{49}{2}+...+\frac{2}{49}+\frac{1}{50}}\)= ?
a) A = \(3\frac{1}{117}.4\frac{1}{119}-1\frac{116}{117}.5\frac{118}{119}-\frac{5}{119}\)
b) B = \(4\frac{1}{115}.1\frac{1}{225}-5\frac{114}{115}.1\frac{224}{225}-\frac{10}{225}\)
Tính hợp lí:
\(\left(\frac{-1}{4}+\frac{7}{33}-\frac{5}{3}\right)-\left(-\frac{15}{12}+\frac{6}{11}-\frac{48}{49}\right)\)