|1/4-1/2|+|1/6-1/4|+|1/8-1/6|+……+|1/2008-1/2006|是多少

问题描述:

|1/4-1/2|+|1/6-1/4|+|1/8-1/6|+……+|1/2008-1/2006|是多少

|1/4-1/2|+|1/6-1/4|+|1/8-1/6|+……+|1/2008-1/2006|
=1/2-1/4+1/4-1/6+……+1/2006-1/2008
=1/2-1/2008
=1003/2008