求1²-2²+3²-4²+…+2013²-2014²
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/17 23:10:42
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求1²-2²+3²-4²+…+2013²-2014²
求1²-2²+3²-4²+…+2013²-2014²
求1²-2²+3²-4²+…+2013²-2014²
1²-2²+3²-4²+…+2013²-2014²
=(1+2)(1-2)+(3+4)(3-4)+……(2013+2014)(2013-2014)
=-(1+2+3+4+……+2013+2014)
=-(1+2014)*2014/2
=-2015*1007
=-2029105