Các câu hỏi tương tự
Cho A = \(\frac{1}{1x2}+\frac{1}{3x4}+\frac{1}{4x5}+...+\frac{1}{99x100}\)
CM \(\frac{7}{12}\) < A < \(\frac{5}{6}\)
Cho A = \(\frac{1}{1x2}+\frac{1}{3x4}+\frac{1}{5x6}+...+\frac{1}{99x100}\)
CM \(\frac{7}{12}\) < A < \(\frac{5}{6}\)
\(\frac{3}{1x2}+\frac{3}{2x3}+\frac{3}{3x4}+...+\frac{3}{99x100}\)
Chứng minh rằng : \(\frac{1}{1x2}+\frac{1}{2x3}+\frac{1}{3x4}+...+\frac{1}{49x50}<1\)
Làm nhanh mình lick cho !
Tính H=\(\frac{1}{1x2}\) -\(\frac{1}{1x2x3}\) +\(\frac{1}{2x3}\) -\(\frac{1}{2x3x4}\) +\(\frac{1}{3x4}\) -\(\frac{1}{3x4x5}\) +...+\(\frac{1}{99x100}\) -\(\frac{1}{99x100x101}\)
Tính ( Tính nhanh nếu có thể ) :
a , \(\frac{3}{40}+\frac{5}{3}+\frac{7}{60}\)
b , \(\frac{1}{1x2}+\frac{1}{2x3}+\frac{1}{3x4}+.....+\frac{1}{19x20}\)
cho A =\(\frac{1}{1.2}+\frac{1}{3.4}+...+\frac{1}{99.100}\)
Chứng minh \(\frac{7}{12}< A< \frac{5}{6}\)
\(\frac{1}{1x2}+\frac{1}{2x3}+.....+\frac{1}{99x100}\)
Cho \(A=\frac{1}{1.2}+\frac{1}{3.4}+\frac{1}{5.6}+....\frac{1}{99.100}.\)Chứng minh rằng:
a.\(A=\frac{1}{51}+\frac{1}{52}+\frac{1}{53}+....+\frac{1}{100}.\)
b.\(\frac{7}{12}< A< \frac{5}{6}.\)