Question

2/2*4+2/4*6+2/6*8+...+2/2014*2016=

Answer 1

= 1/2 - 1/4 + 1/4 - 1/6 + 1/6 - 1/8 +......+ 1/2014 - 1/2016

= 1/2 - 1/2016

= 1008/2016 - 1/2016

= 1007/2016

không chắc lắm!!!

Answer 2

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

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

<=>\(\frac{1}{2}-\left(-\frac{1}{2016}\right)=\frac{1}{2}+\frac{1}{2016}=\frac{1009}{2016}\)

Answer 3

Hôm qua mình thi gặp bài này tắc tịt lun nè