1²-2²+3²-4²+……+99²-100²怎么计算?
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/11 22:57:22
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1²-2²+3²-4²+……+99²-100²怎么计算?
1²-2²+3²-4²+……+99²-100²怎么计算?
1²-2²+3²-4²+……+99²-100²怎么计算?
平方差
原式=(1+2)(1-2)+(3-4)(3-4)+……+(99+100)(99-100)
第二个括号都是-1
所以=-1*(1+2+……+99+100)
=-5050