Question

2/2*4 +2/4*6+2/6*8+  2/2014*2016

 

 

Answer 1

\(\frac{2}{2.4}+\frac{2}{4.6}+\frac{2}{6.8}+....+\frac{2}{2014.2016}\)

\(=\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+...+\frac{1}{2014}-\frac{1}{2016}\)

\(=\frac{1}{2}-\frac{1}{2016}=\frac{1008}{2016}-\frac{1}{2016}=\frac{1007}{2016}\)

Answer 2

11,66865276

Answer 3

Ô! Hay nhỉ! Thú vị thật.