Question

1/2 x 2/3x 3/4x...................x 2016/2017

Answer 1

\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot...\cdot\frac{2016}{2017}\)

\(=\frac{1\cdot2\cdot3\cdot4\cdot...\cdot2016}{2\cdot3\cdot4\cdot....\cdot2017}\)

\(=\frac{1}{2017}\)

Answer 2

Ta có:

\(\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.........\frac{2016}{2017}\)

\(=\frac{1.2.3......2016}{2.3.4......2017}\)

\(=\frac{1}{2017}\)

Vậy: \(\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.........\frac{2016}{2017}\)\(=\frac{1}{2017}\)

Answer 3

Ta có:

\(\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times.....\times\frac{2016}{2017}\)

\(\Rightarrow\frac{1\times2\times3\times.....\times2016}{2\times3\times4\times....\times2017}=\frac{1}{2017}\)

Vậy giá trị biểu thức là \(\frac{1}{2017}\)

Answer 4

2008.81371

bấm máy tính

Answer 5

=(1x2x3x...x2016)/((2x3x4x...x2017)=1/2017