2010+2009+2008+2007-2006-2005-2004-2003+2002+2001+2000+1999-1998-1997-1996+1995+1994+1993+1992-…+10+9+8+7-6-5-4-3+2+1=

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/14 18:52:58
2010+2009+2008+2007-2006-2005-2004-2003+2002+2001+2000+1999-1998-1997-1996+1995+1994+1993+1992-…+10+9+8+7-6-5-4-3+2+1=

2010+2009+2008+2007-2006-2005-2004-2003+2002+2001+2000+1999-1998-1997-1996+1995+1994+1993+1992-…+10+9+8+7-6-5-4-3+2+1=
2010+2009+2008+2007-2006-2005-2004-2003+2002+2001+2000+1999-1998-1997-1996+1995+1994+1993+1992-…+10+9+8+7-6-5-4-3+2+1=

2010+2009+2008+2007-2006-2005-2004-2003+2002+2001+2000+1999-1998-1997-1996+1995+1994+1993+1992-…+10+9+8+7-6-5-4-3+2+1=
答案为4019
原式=(2010+2009+2008+2007-2006-2005-2004-2003+2002+2001+2000+1999-1998-1997-1996+1995+1994+1993+1992-…+10+9+8+7-6-5-4-3)+2+1
=[(2010+2009+2008+2007-2006-2005-2004-2003)+(2002+2001+2000+1999-1998-1997-1996)+…+(10+9+8+7-6-5-4-3)]+2+1
=16*251+2+1=4019