Question

( 1- 1/2) . ( 1- 1/3) . ( 1- 1/4) . ( 1- 1/5 ) ... ( 1- 1/2015). ( 1- 1/2016) ??

giúp em với

Answer 1

( 1 - 1/2 ) . ( 1 - 1/3 ) . ( 1 - 1/4 ) . ( 1 - 1/5 ) ... ( 1 - 1/2015 ) . ( 1 - 1/2016 )

= 1/2 . 2/3 . 3/4 . 4/5 ... 2014/2015 . 2015/2016

= 1/2016

Answer 2

\(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right).........\left(1-\frac{1}{2015}\right)\left(1-\frac{1}{2016}\right)\)

\(=\frac{1}{2}.\frac{2}{3}.......\frac{2014}{2015}.\frac{2015}{2016}=\frac{1.2....2014.2015}{2.3......2015.2016}=\frac{1}{2016}\)

Answer 3

( 1- 1/2) . ( 1- 1/3) . ( 1- 1/4) . ( 1- 1/5 ) ... ( 1- 1/2015). ( 1- 1/2016) 

\(=\frac{1}{2}\cdot\frac{2}{3}\cdot....\cdot\frac{2015}{2016}\)

\(=\frac{1\cdot2\cdot...\cdot2015}{2\cdot3\cdot...\cdot2016}\)

\(=\frac{1}{2016}\)

Answer 4

\(A=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.....\frac{2014}{2015}.\frac{2015}{2016}=\frac{2.3.4.5.....2015}{\left(2.3.4......2015\right).2016}=\frac{1}{2016}\)

Answer 5

thank mọi người nha