Question

giá trị của biểu thức (1-1/2) .(1-1/2) .(1-1/3).(1-1/4) . (1-1/5) .   .....  .(1-1/2003).(1-1/2004)

 

Answer 1

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

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

\(=\frac{1.1.2.3.4.....2002.2003}{2.2.3.4.5....2003.2004}=\frac{1.1}{2.2004}=\frac{1}{4008}\)

Answer 2

nham { 1-1/2} . { 1- 1/3},,,,,,,,,,,,,