1²-2²/1+2+2²-3²/2+3+...+99²-100²/99+100帮忙计算
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/30 15:50:14
![1²-2²/1+2+2²-3²/2+3+...+99²-100²/99+100帮忙计算](/uploads/image/z/129088-64-8.jpg?t=1%26%23178%3B-2%26%23178%3B%2F1%2B2%2B2%26%23178%3B-3%26%23178%3B%2F2%2B3%2B...%2B99%26%23178%3B-100%26%23178%3B%2F99%2B100%E5%B8%AE%E5%BF%99%E8%AE%A1%E7%AE%97)
1²-2²/1+2+2²-3²/2+3+...+99²-100²/99+100帮忙计算
1²-2²/1+2+2²-3²/2+3+...+99²-100²/99+100帮忙计算
1²-2²/1+2+2²-3²/2+3+...+99²-100²/99+100帮忙计算
1^2-2^2/1+2+2^2-3^2/2+3+...+99^2-100^2/99+100
=(1+2)(1-2)/(1+2)+(2+3)(2-3)/(2+3)+...+(99+100)(99-100)/(99+100)
=1-2+2-3+3-4+.+99-100
=1-100
=-99
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