Question

[Trần Thanh Quyên]

2016/1.3 + 2016/3.5 + 2016/5.7 +...+ 2016/2015.2017=? 

Answer 1

[Sherlockichi Kudoyle]

\(\frac{2016}{1.3}+\frac{2016}{3.5}+\frac{2016}{5.7}+....+\frac{2016}{2015.2017}\)

\(=1008.\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{2015.2017}\right)\)

\(=1008.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+....+\frac{1}{2015}-\frac{1}{2017}\right)\)

\(=1008.\left(1-\frac{1}{2017}\right)\)

\(=1008.\frac{2016}{2017}\)

Answer 2

[Văn Đức Kiên]

147852.