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请问(2/2009+4/2009+6/2009+···+2008/2009)—(1/2009+3/2009+5/2009

来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/11/12 08:09:35
请问(2/2009+4/2009+6/2009+···+2008/2009)—(1/2009+3/2009+5/2009+···+2007/2009)等于多少?
请问(2/2009+4/2009+6/2009+···+2008/2009)—(1/2009+3/2009+5/2009
(2/2009+4/2009+6/2009+···+2008/2009)—(1/2009+3/2009+5/2009+···+2007/2009)
=[(2+4+6+...+2008)-(1+3+5+...+2007)]/2009
=[(2-1)+(4-3)+(6-5)+...+(2008-2007)]/2009
=1004/2009