Question

Tính giá trị của biểu thức:

B = (1-1/2) x (1-1/3) x (1-1/4) x (1-1/5) x ..... x (1-1/2003) x (1-1/2004)

Giải hộ mk vs mk đang cần gấp!

Answer 1

B= (1-1/2). ( 1-1/3).(1-1/4).(1-1/5)....(1-1/2004)

B= 1/2. 2/3 . 3/4. 4/5....2003/2004

B= 1/2004

Answer 2

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

\(B=\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot...\cdot\frac{2002}{2003}\cdot\frac{2003}{2004}\)

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

Answer 3

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

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

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

Answer 4

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

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

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