Đặt \(D=\frac{1}{2.4}+\frac{1}{4.6}+...+\frac{1}{98.100}\)
=>\(2D=\frac{2}{2.4}+\frac{2}{4.6}+...+\frac{2}{98.100}\)
=>\(2D=\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+...+\frac{1}{98}-\frac{1}{100}\)
=>\(2D=\frac{1}{2}-\frac{1}{100}\)
=>\(2D=\frac{49}{100}\)
=>\(D=\frac{49}{50}\)
Tính nhanh
\(\frac{1}{2\cdot4}+\frac{1}{4\cdot6}+\frac{1}{6\cdot8}+.........+\frac{1}{99\cdot100}\)
\(\frac{3}{2\cdot4}+\frac{3}{4\cdot6}+\frac{3}{6\cdot8}+.....+\frac{3}{98\cdot100}\)
\(choA=\frac{1}{1\cdot2}+\frac{1}{3\cdot4}+\frac{1}{5\cdot6}+...+\frac{1}{99\cdot100};B=\frac{1}{51\cdot100}+\frac{1}{52\cdot99}+...+\frac{1}{52\cdot99}+\frac{1}{100\cdot51}\)
F=\(\frac{4}{1\cdot5}\)+ \(\frac{4}{5\cdot9}\)+.............+\(\frac{4}{99\cdot100}\)+\(\frac{2}{2\cdot4}\)+\(\frac{2}{4\cdot6}\)+..............+\(\frac{2}{99\cdot100}\)
\(E=\frac{1}{2\cdot4}+\frac{1}{4\cdot6}+\frac{1}{6\cdot8}+....+\frac{1}{2016\cdot2018}\)
\(\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}=\)
k mik mik k lại
tính nhanh:
\(\frac{1\cdot2\cdot3+2\cdot4\cdot6+3\cdot6\cdot9+4\cdot8\cdot12}{1\cdot3\cdot4+4\cdot6\cdot8+6\cdot9\cdot12+8\cdot12\cdot16}\)
dấu \(\cdot\)là dấu nhân nha!
\(\frac{3}{1\cdot2}+\frac{3}{2\cdot3}+\frac{3}{3\cdot4}+................................................+\frac{3}{99\cdot100}\)
A = \(\frac{1\cdot2+2\cdot4+3\cdot6+4\cdot8+5\cdot10}{3\cdot4+6,8+9\cdot12+12\cdot6+15\cdot20}\)
B = \(\frac{111111}{666665}\)
so sánh 2 số
