Question

[Hà Ngọc Dương]

A=(1-1/2)*(1-1/3)*(1-1/3)*(1-1/4)*(1-1/5)* ... * (1-1/2003)*(1-1/2004)

/ : Là phân số

Answer 1

[Bông Hồng Lạnh]

\(A=\left(1-\frac{1}{2}\right)x\left(1-\frac{1}{3}\right)x\left(1-\frac{1}{4}\right)x\left(1-\frac{1}{5}\right)x...x\left(1-\frac{1}{2003}\right)x\left(1-\frac{1}{2004}\right)\)

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

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

Answer 2

[kudo shinichi]

\(A=\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).....\left(1-\frac{1}{2003}\right).\left(1-\frac{1}{2004}\right)\)

\(A=\frac{1}{2}.\frac{2}{3}.....\frac{2002}{2003}.\frac{2003}{2004}\)

\(A=\frac{1.2.....2002.2003}{2.3.....2003.2004}\)

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