100²-99²+98²-97²+……+2²-1²=?
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/12 15:36:31
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100²-99²+98²-97²+……+2²-1²=?
100²-99²+98²-97²+……+2²-1²=?
100²-99²+98²-97²+……+2²-1²=?
原式=(100+99)*(100-99)+(98+97)*(98-97)+.+(2+1)*(2-1)
=100+99+98+97+.+2+1
=101*50
=5050