(+1)+(-2)+(+3)+(-4)+……+(+2005)+(-2006)+2007

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/08 18:28:35
(+1)+(-2)+(+3)+(-4)+……+(+2005)+(-2006)+2007

(+1)+(-2)+(+3)+(-4)+……+(+2005)+(-2006)+2007
(+1)+(-2)+(+3)+(-4)+……+(+2005)+(-2006)+2007

(+1)+(-2)+(+3)+(-4)+……+(+2005)+(-2006)+2007
(+1)+(-2)+(+3)+(-4)+……+(+2005)+(-2006)+2007
=(1+3+5+...+2007)-(2+4+6+...+2006)
=[(1+2007)*1004/2]-[(2+2006)*1003/2]
=1006008-1007012=-1004

1004

1004