\(=2\left(\dfrac{2}{3.5}+\dfrac{2}{5.7}+...+\dfrac{2}{17.19}\right)\)
\(=2\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+...+\dfrac{1}{17}-\dfrac{1}{19}\right)\)
\(=2\left(\dfrac{1}{3}-\dfrac{1}{19}\right)=2\text{ }\times\dfrac{16}{57}=\dfrac{32}{57}\)
A=\(\dfrac{2}{3}\)+\(\dfrac{14}{15}\)+\(\dfrac{34}{35}\)+\(\dfrac{62}{63}\)+\(\dfrac{98}{99}\)+\(\dfrac{142}{143}\)+\(\dfrac{194}{195}\)
Và B=5+\(\dfrac{1}{2^2}\)+\(\dfrac{1}{3^3}\)+\(^{\dfrac{1}{4^4}}\)+\(\dfrac{1}{5^5}\)+\(\dfrac{1}{6^6}\)+\(\dfrac{1}{7^7}\).So sánh A và B
Tìm x :
\(\dfrac{4}{15}+\dfrac{4}{35}+\dfrac{4}{63}+...+\dfrac{4}{399}=\dfrac{x}{49}\)
Tìm x :
\(\dfrac{4}{15}\) + \(\dfrac{4}{35}\) + \(\dfrac{4}{63}\) + ... + \(\dfrac{4}{399}\) = \(\dfrac{x}{49}\)
Tính hợp lý:
\(a.\dfrac{3}{17}+\dfrac{-5}{13}+\dfrac{-18}{35}+\dfrac{14}{17}+\dfrac{17}{-35}+\dfrac{-8}{13}\)
\(b.\dfrac{-3}{8}\cdot\dfrac{1}{6}+\dfrac{3}{-8}\cdot\dfrac{5}{6}+\dfrac{-10}{16}\)
\(c.\dfrac{-4}{11}\cdot\dfrac{5}{15}\cdot\dfrac{11}{-4}\)
Tính tổng sau đây:
a,\(\dfrac{-3}{12}\)+\(\dfrac{1}{-4}\) b,\(\dfrac{5}{12}+\dfrac{-3}{28}\) c,\(\dfrac{-7}{15}+\dfrac{3}{35}\) d,\(\dfrac{-5}{7}+\dfrac{-3}{4}\)
Giúp mk với.
Tính: \(A=\dfrac{3}{4}.\dfrac{8}{9}.\dfrac{15}{16}.\dfrac{24}{25}.\dfrac{35}{36}.\dfrac{48}{49}.\dfrac{63}{64}\)
Câu 10:
a) \(-3\dfrac{1}{4}.x-75\%+\dfrac{3x}{2}=-1,2:-\dfrac{9}{10}-1\dfrac{1}{4}\)
b) \(\dfrac{5}{3}+\dfrac{5}{15}+\dfrac{5}{35}+...+\dfrac{5}{x\left(x+2\right)}=2\dfrac{8}{17}\)(x thuộc N sao)
\(\dfrac{3}{15}.\dfrac{5}{9}:\dfrac{-18}{17}.\dfrac{14}{17}\)
\(\dfrac{12}{7}.\dfrac{7}{4}+\dfrac{35}{11}:\dfrac{245}{121}\)
giúp mình với
\(\dfrac{3}{15}.\dfrac{5}{9}:\dfrac{-18}{17}.\dfrac{14}{17}\)
\(\dfrac{12}{7}.\dfrac{7}{4}+\dfrac{35}{11}:\dfrac{245}{121}\)
giúp mình với
