Các câu hỏi tương tự
Tính A=\(\frac{101+100+99+98+...+3+2+1}{101-100+99-98+...+3-2+1}\)
Tính:(101+100+99+98+...+3+2+1)/(101-100+99-98+...+3-2+1)
Afrac{1}{3}-frac{2}{3^2}+frac{3}{3^3}-...+frac{99}{3^{99}}-frac{100}{3^{100}}Rightarrow3A1-frac{2}{3}+frac{3}{3^2}-...+frac{99}{3^{98}}-frac{100}{3^{99}}Rightarrow3A+Aleft(...right)+left(...right)Rightarrow4A1-frac{1}{3}+frac{1}{3^2}-...-frac{1}{3^{99}}-frac{100}{3^{100}}Rightarrow3.4A3-1+frac{1}{3}-...-frac{1}{3^{98}}-frac{100}{3^{99}}Rightarrow12A+4Aleft(...right)+left(...right)Rightarrow16A3-frac{101}{3^{99}}-frac{100}{3^{100}} 3Rightarrow A frac{3}{16}
Đọc tiếp
\(A=\frac{1}{3}-\frac{2}{3^2}+\frac{3}{3^3}-...+\frac{99}{3^{99}}-\frac{100}{3^{100}}\)
\(\Rightarrow3A=1-\frac{2}{3}+\frac{3}{3^2}-...+\frac{99}{3^{98}}-\frac{100}{3^{99}}\)
\(\Rightarrow3A+A=\left(...\right)+\left(...\right)\)
\(\Rightarrow4A=1-\frac{1}{3}+\frac{1}{3^2}-...-\frac{1}{3^{99}}-\frac{100}{3^{100}}\)
\(\Rightarrow3.4A=3-1+\frac{1}{3}-...-\frac{1}{3^{98}}-\frac{100}{3^{99}}\)
\(\Rightarrow12A+4A=\left(...\right)+\left(...\right)\)
\(\Rightarrow16A=3-\frac{101}{3^{99}}-\frac{100}{3^{100}}< 3\)
\(\Rightarrow A< \frac{3}{16}\)
Tính nhanh:
(124.237+152):(870+235.122)
(101+100+99+...+3+2+1)/(101-100+99-98+...+3-2+1)
Tính nhanh :B=1*4/2*3+2*5/3*4+...+98*101/99*100
Tính A biết
A=1×2+3×4+...+98×99+100×101
A=101-100+99-98+...+3-2+1
Tính \(A=\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{102}}{\frac{101}{1}+\frac{100}{2}+\frac{99}{3}+...+\frac{1}{101}}\)
Tính \(A=\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{102}}{\frac{101}{1}+\frac{100}{2}+\frac{99}{3}+...+\frac{1}{101}}\)