Question

Tính nhanh \(K=\frac{4}{2.4}+\frac{4}{4.6}+\frac{4}{6.8}+...+\frac{4}{2008.2010}\)

 

Answer 1

K = 4/2 - 4/4 + 4/4 - 4/6 + ....... + 4/2008 - 4/2010

K = 4/2 - 4/2010

K = 4016/2010 = 1/1003/1005

Answer 2

\(\frac{1004}{1005}\)

Answer 3

\(K=2\left(\frac{2}{2.4}+\frac{2}{4.6}+...+\frac{2}{2008.2010}\right)\)

\(K=2\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+...+\frac{1}{2002}-\frac{1}{2010}\right)\)

\(K=2\left(\frac{1}{2}-\frac{1}{2010}\right)\)

\(K=2.\frac{502}{1005}\)

\(K=\frac{1004}{1005}\)

Answer 4

Bạn Nguyễn Thanh Bình làm đúng rồi

Answer 5

1004/1005

Answer 6

K =4/2-4/4+4/4-4/6+.....+4/2008-4/2010

K =4/2-4/2010

K =4016/2010=1/1003/1005

Answer 7

Mình đòng với Nguyễn Thanh Bình.