1/2*4+1/4*6+1/6*8+1/8*10.1/2006*2008

问题描述:

1/2*4+1/4*6+1/6*8+1/8*10.1/2006*2008

1/2*4=1/2-1/4这是个规律
所以,原式=1/2-1/4+1/4-1/6+1/6-……-1/2006+1/2006-1/2008
=1/2-1/2008
=1003/2008