用简单方法计算:1-2²+3²-4²+5²-6²+...+99²-100²
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/16 21:55:10
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用简单方法计算:1-2²+3²-4²+5²-6²+...+99²-100²
用简单方法计算:1-2²+3²-4²+5²-6²+...+99²-100²
用简单方法计算:1-2²+3²-4²+5²-6²+...+99²-100²
=(1-2)(1+2)+(3-4)(3+4)+……+(99-100)(99+100)
=-(1+2+3+4+……+100)
=-5050