Question

1/2*2/3*3/4*4/5*.......*2002/2003*2003/2004

Answer 1

\(\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.\frac{4}{5}....\frac{2002}{2003}.\frac{2003}{2004}\)

Ta có : \(\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.\frac{4}{5}....\frac{2002}{2003}.\frac{2003}{2004}\)

\(=\frac{1.2.3.4.....2002.2003}{2.3.4.5....2003.2004}\)

\(=\frac{1}{2004}\)

Answer 2

\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot...\cdot\frac{2003}{2004}\)

\(=\frac{1\cdot2\cdot3\cdot...\cdot2003}{2\cdot3\cdot4\cdot...\cdot2004}\)

\(=\frac{1}{2004}\)