Tìm x:
(\(\frac{3}{1.2}+\frac{3}{3.4}+\frac{3}{5.6}+...+\frac{3}{299.300}\)) X ( \(x+\frac{2}{3}\)) = \(\frac{2}{151}+\frac{2}{152}+\frac{2}{153}+...+\frac{2}{300}\)
Tính giúp tớ với \(\frac{3}{1.2}+\frac{3}{3.4}+\frac{3}{5.6}+...+\frac{3}{299.300}\)
Tính nhanh:
\(\frac{1^2}{1.2}.\frac{2^2}{2.3}.\frac{3^2}{3.4}.\frac{4^2}{4.5}.\frac{5^2}{5.6}\)
Tìm x biết \(\frac{1.2+2.3+3.4+...+98.99:49}{26950}.x=12+\frac{\frac{6}{7}}{\frac{-3}{2}}\)
1. Chứng Minh Rằng \(\frac{1}{3^1}+\frac{2}{3^2}+\frac{3}{3^3}+\frac{4}{3^4}+.....+\frac{100}{3^{100}}<\frac{3}{4}\)
2. Chứng Minh Rằng \(\frac{1}{1.2}+\frac{1}{3.4}+\frac{1}{5.6}+...+\frac{1}{2015.2016}=\frac{1}{1009}+\frac{1}{1010}+\frac{1}{1011}+...+\frac{1}{2012}\)
Tính giá trị biểu thức sau:
a)\(\frac{1^2}{1.2}\)x \(\frac{2^2}{2.3}\)x\(\frac{3^2}{3.4}\)x\(\frac{4^2}{4.5}\)x\(\frac{5^2}{5.6}\)
b)\(\frac{2^2}{1.3}\)x\(\frac{3^2}{2.4}\)x\(\frac{4^2}{3.5}\)x\(\frac{5^2}{4.6}\)x\(\frac{6^2}{5.7}\)
c)(\(1+\frac{1}{2}\))(\(1+\frac{1}{3}\))(\(1+\frac{1}{4}\))(1+\(\frac{1}{5}\))
Cho A= \(\frac{2^{2018}}{2^{2018}+3^{2019}}+\frac{3^{2019}}{3^{2019}+5^{2020}}+\frac{5^{2020}}{5^{2020}+2^{2018}}\)
và B= \(\frac{1}{1.2}+\frac{1}{3.4}+\frac{1}{5.6}+....+\frac{1}{2019.2010}\)
So sánh A và B
1) tính
\(M=\frac{7}{-12}+\frac{2}{9}-\frac{-1}{4}\)
2) tìm x: 3/x = 6/7
3) tính tổng \(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}\)
tìm x biết :\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{19.20}-\frac{x}{40}=\frac{3}{-10}\)