1/3-1/2+1/4-1/3+1/5-1/4+…1/2004-1/2003

来源：学生作业帮助网编辑：六六作业网时间：2024/05/15 23:44:29

1/3-1/2+1/4-1/3+1/5-1/4+…1/2004-1/20031/3-1/2+1/4-1/3+1/5-1/4+…1/2004-1/20031/3-1/2+1/4-1/3+1/5-1/4+

1/3-1/2+1/4-1/3+1/5-1/4+…1/2004-1/2003
1/3-1/2+1/4-1/3+1/5-1/4+…1/2004-1/2003

1/3-1/2+1/4-1/3+1/5-1/4+…1/2004-1/2003
隔项相消,1/3-1/2+1/4-1/3+1/5-1/4+…1/2004-1/2003=1/2004-1/2=-1001/2004