Question

[Thảo VâN zoi]

tính giá trị biểu thức:

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

Answer 1

[Thắng Nguyễn]

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

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

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

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