Question

1/2*2/3*3/4*4/5*5/6*.....*2009/2010

Answer 1

\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot\frac{4}{5}\cdot....\cdot\frac{2009}{2010}\)

\(=\frac{\left(2\cdot3\cdot4\cdot5....\cdot2009\right)}{\left(2\cdot3\cdot4\cdot5\cdot....\cdot2009\right)\cdot2010}=\frac{1}{2010}\)

Answer 2

1/2x2/3x3/4x4/5x5/6x......x2009/2010

=(2x3x4x5x.....x2009)/(2x3x4x5x......x2009).2010=1/2010

Answer 3

\(\frac{1}{2010}\)