Đặt \(A=\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{97}}\)
\(2A=1+\frac{1}{2}+...+\frac{1}{2^{96}}\)
\(2A-A=\left(1+\frac{1}{2}+...+\frac{1}{2^{96}}\right)-\left(\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{97}}\right)\)
\(\Rightarrow A=1-\frac{1}{2^{97}}\)
Ủng hộ mk nha !!! ^_^
\(B=\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{100}}{\frac{99}{1}+\frac{98}{2}+\frac{97}{3}+....+\frac{1}{99}}\)
Tính
B=\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{99}+\frac{1}{100}}{\frac{99}{1}+\frac{98}{2}+\frac{97}{3}+...+\frac{1}{99}}\)
Tính giá trị của biểu thức \(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{99}+\frac{1}{100}}{\frac{99}{1}+\frac{98}{2}+\frac{97}{3}+...+\frac{1}{99}}\)
Tính giá trị của biểu thức \(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{99}+\frac{1}{100}}{\frac{99}{1}+\frac{98}{2}+\frac{97}{3}+...+\frac{1}{99}}\)
Tìm M
\(M=\frac{\frac{1}{99}+\frac{2}{98}+\frac{3}{97}+.......+\frac{99}{1}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+.......+\frac{1}{100}}\)
Tính M:
\(M=\frac{\frac{1}{99}+\frac{2}{98}+\frac{3}{97}+.....+\frac{99}{1}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+......+\frac{1}{100}}\)
Tính M
\(M=\frac{\frac{1}{99}+\frac{2}{98}+\frac{3}{97}+....+\frac{99}{1}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+.....+\frac{1}{100}}\)
Tìm M biết:
\(M=\frac{\frac{1}{99}+\frac{2}{98}+\frac{3}{97}+......+\frac{99}{1}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+.....+\frac{1}{100}}\)
Bài 2:
Bài vừa nãy là a. Bây giờ là câu b nè:
b)\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...\frac{1}{99}+\frac{1}{100}}{\frac{99}{1}+\frac{98}{2}+\frac{97}{3}+...+\frac{1}{99}}\)