Tính:
a. \(\dfrac{-5}{14}-\dfrac{2}{14}+\dfrac{1}{8}+\dfrac{1}{8}\)
b.\(\dfrac{-5}{22}-1+\dfrac{3}{2}-\dfrac{6}{22}\)
c.\(\dfrac{2}{5}+\dfrac{5}{4}+(\dfrac{-2}{5}+\dfrac{5}{4})-\dfrac{5}{2}\)
d.\(\dfrac{-1}{2}+\dfrac{1}{4}+\dfrac{2}{8}-\dfrac{11}{77}\)
làm nhanh hộ mình nha!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Cho \(A=\dfrac{1}{2^2}+\dfrac{1}{3^2}+\dfrac{1}{4^2}+................+\dfrac{1}{9^2}\)
Chứng minh \(\dfrac{2}{5}< A< \dfrac{8}{9}\)
Help me!!!!!!!!!!! tôi đang cần gấp!!!
Mọi người giúp em với ạ. em cảm ơn
Chứng tỏ:
\(\dfrac{200-\left(3+\dfrac{2}{3}+\dfrac{2}{4}+\dfrac{2}{5}+...+\dfrac{2}{100}\right)}{\dfrac{1}{2}+\dfrac{2}{3}+\dfrac{3}{4}+...+\dfrac{99}{100}}\)=2
Bài 1: Cho b \(\in\) N, b > 1
Chứng minh: \(\dfrac{1}{b}-\dfrac{1}{b+1}< \dfrac{1}{b^2}< \dfrac{1}{b-1}-\dfrac{1}{b}\)
Bài 2: Cho S = \(\dfrac{1}{2^2}+\dfrac{1}{3^2}+\dfrac{1}{4^2}+.....+\dfrac{1}{9^2}\)
Chứng minh: \(\dfrac{2}{5}< S< \dfrac{8}{9}\)
-Giúp tớ với, bí quá :<
So sánh
\(A=\dfrac{1}{2^2}+\dfrac{2}{2^3}+\dfrac{3}{2^4}+...+\dfrac{100}{2^{201}}\)
và \(B=\dfrac{1}{2^3}+\dfrac{1}{3^3}+\dfrac{1}{4^3}+...+\dfrac{1}{100^3}\)
Cho A = \(\dfrac{2}{1.4}\)+\(\dfrac{2}{4.7}\)+\(\dfrac{2}{7.10}\)+.........+\(\dfrac{2}{\left(3x+1\right).\left(3x+4\right)}\)= \(\dfrac{1344}{2017}\)
Chứng tỏ \(\dfrac{7}{12}< A< \dfrac{5}{6}\)
Mik sẽ tick cho những ai làm đúng , đầy đủ và nhanh nhất nha !!!
Cần gấp trưa nay !!! Help me
\(4\dfrac{2}{5}-\left(6\dfrac{3}{7}-8\dfrac{2}{5}\right)\)
giúp mình nha mình đang cần gấp
1, Tính
\(-2\dfrac{1}{4}.\left(3\dfrac{5}{12}-1\dfrac{2}{9}\right)\)
\(\left(-25\%+0,75+\dfrac{7}{12}\right):\left(-2\dfrac{1}{8}\right)\)
2, Tính nhanh
\(\dfrac{4}{9}.19\dfrac{1}{3}-\dfrac{4}{9}.39\dfrac{1}{3}\) | \(19\dfrac{5}{8}:\dfrac{7}{12}-15\dfrac{1}{4}.\dfrac{12}{7}\)
\(\dfrac{-5}{7}.\dfrac{5}{11}+\dfrac{-5}{7}.\dfrac{2}{11}-\dfrac{5}{7}:\dfrac{11}{14}\) | \(\dfrac{4}{7}.\dfrac{89}{5}-\dfrac{4}{5}.\dfrac{82}{7}\)
\(\dfrac{5}{7}.\dfrac{-4}{19}+\dfrac{-15}{7}.\dfrac{5}{19}\) | \(8\dfrac{2}{7}-\left(3\dfrac{4}{9}+4\dfrac{2}{7}\right)\)
- Giải hộ với ạ, mấy anh, chị lớp 7,8 cũng được huhu :(( sáng mai nộp đề cương rồi. Làm ơn đi a
Muốn gì cũng hậu tạ :>
1.Tính nhanh
A=\(\dfrac{2}{7}\)+\(\dfrac{-3}{8}\)+\(\dfrac{11}{7}\)+\(\dfrac{1}{3}\)+\(\dfrac{1}{7}\)+\(\dfrac{5}{-3}\)
B=\(\dfrac{3}{17}\)+\(\dfrac{-5}{13}\)+\(\dfrac{-18}{35}\)+\(\dfrac{14}{17}\)+\(\dfrac{17}{-35}\)+\(\dfrac{-8}{13}\)
C=\(\dfrac{-3}{17}\)+(\(\dfrac{2}{3}\)+\(\dfrac{3}{17}\))
D=(\(\dfrac{-1}{6}\)+\(\dfrac{5}{-12}\))+\(\dfrac{7}{12}\)
2.a) Chứng tỏ:\(\dfrac{1}{201}\)+\(\dfrac{1}{212}\)+. . .+\(\dfrac{1}{399}\)+\(\dfrac{1}{400}\)
b)1 < \(\dfrac{1}{5}\)+\(\dfrac{1}{6}\)+. . .+\(\dfrac{1}{16}\)+\(\dfrac{1}{17}\)< 2