Question

B = ( 1-1/2) × (1-1/3) × (1-1/4) × (1-1/5) ....................(1-1/2017) × (1-1/2018)

Answer 1

\(B=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}...\frac{2016}{2017}.\frac{2017}{2018}\)

\(\Rightarrow B=\frac{1.2.3....2016.2017}{2.3.4...2017.2018}\)

\(\Rightarrow B=\frac{1}{2018}\)

Answer 2

B=1/2x2/3/3/4/4/5/....../2016/2017x2017/2018

B=1/2018

Answer 3

B = 1/2 * 2/3 * 3/4 * ... * 2016 / 2017 * 2017/2018

B = \(\frac{1\cdot2\cdot3\cdot...\cdot2017}{2\cdot3\cdot4\cdot5\cdot...\cdot2017\cdot2018}=\frac{1}{2018}\)

Answer 4

k anh minh đi