Question

Tính :

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

Answer 1

Đề bài

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

= \(1\times2\times3\times4\times...\times2002\times2003/2\times3\times4\times5\times...2003\times2004\)

= \(\frac{1}{2004}\)

Answer 2

Đề bài 

=  1/2 x 2/3 x 3/4 x 4/5 x .... x 2002/2003 x 2003/2004 

=   1 x 2 x 3 x 4 x ...x 2002 x 2003 / 2 x 3 x 4 x 5 x .... x 2003 x 2004

=   1/2004

K nha