1-2+3-4+5...-2008

来源:百度知道 编辑:UC知道 时间:2024/05/17 08:09:11
简便计算 要有点过程 谢谢

=-1*1004
=-1004

1-2=-1
3-4=-1
有1004个

1-2+3-4+5...-2008
=(1+3+5+...+2007)-(2+4+6+...+2008)
=(1+2007)/2*1004 - (2+2008)/2*1004
=502*(2008-2010)
=502*(-2)
=-1004

(1-2)+(3-4)+(5-6)+······+(2007-2008)=(-1)*1004=-1004

1-2+3-4+5...-2008
=(1-2)+(3-4)...(2007-2008)
=-1*(2008/2)
=-1004

=(1-2)+(3-4)+...+(2007-2008)
=-1*1004
=-1004