=1/2(2/3*5+2/5*7+...+2/97*99)
=1/2(1/3-1/5+1/5-1/7+...+1/97-1/99)
=1/2*32/99
=16/99
=1/2(2/3*5+2/5*7+...+2/97*99)
=1/2(1/3-1/5+1/5-1/7+...+1/97-1/99)
=1/2*32/99
=16/99
\(\dfrac{1}{3}\)+\(\dfrac{1}{15}\)+\(\dfrac{1}{35}\)+...+\(\dfrac{1}{97,99}\)
Tính tổng trên:
Tính nhanh
\(\dfrac{1}{15}+\dfrac{1}{35}+\dfrac{1}{63}+\dfrac{1}{99}+\dfrac{1}{143}\)
A= ( -6,17 + \(3\dfrac{5}{9}\) - \(2\dfrac{36}{97}\)) . (\(\dfrac{1}{3}\) - 0,25 - \(\dfrac{1}{12}\))
B= \(\dfrac{0,5-\dfrac{3}{17}}{\dfrac{5}{6}-\dfrac{5}{17}}\) + \(\dfrac{0,5-\dfrac{1}{3}-0,2}{\dfrac{7}{5}+\dfrac{7}{3}-3,5}\)
Câu 2 : Tính nhanh:
\(\dfrac{1}{2}\)+\(\dfrac{1}{4}\)+\(\dfrac{1}{8}\)+...+\(\dfrac{1}{256}\)+\(\dfrac{1}{512}\)
Tính các tổng bằng cách nhanh nhất
a,\(\dfrac{1}{12}\)+\(\dfrac{1}{20}\)+\(\dfrac{1}{30}\)+\(\dfrac{1}{42}\)+\(\dfrac{1}{56}\)+\(\dfrac{1}{72}\)
Bài 1. Tính nhanh giá trị của biểu thức sau:
a, E = \(\dfrac{1}{2}\)+ \(\dfrac{1}{3}\)+ \(\dfrac{1}{6}\)+ \(\dfrac{1}{24}\)+ \(\dfrac{1}{8}\)+ \(\dfrac{1}{2}\)+\(\dfrac{1}{12}\)
\(\text{( \dfrac{8}{7} − \dfrac{4 }{3})×1\dfrac{1}{3} − \dfrac{ 2}{7} ×(−3,5)^2}\)
tính nhanh :
\(\dfrac{-1}{6}+\dfrac{5}{-12}+\dfrac{7}{12}\)
\(\dfrac{4}{45}+\dfrac{-1}{45}+\dfrac{7}{45}+\dfrac{4}{45}+\dfrac{-2}{45}+\dfrac{-1}{5}\)
Tính nhanh:
\(\dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30}+...+\dfrac{1}{9702}\)