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1+2+3+4+······+78+79+80

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/22 13:47:55
1+2+3+4+······+78+79+80
1/2+1/6+1/12+1/20+······+1/72+1/90
100-99+98-97+96-······+4-3+2-1
1000-1-2-3-4-······-78-79-80
1/15+2/15+······+13/15+14/15
注:例 1/15 就是 十五分之一
1+2+3+4+······+78+79+80
=(1+80)*(80/2)
=81*40
=3240
1/2+1/6+1/12+1/20+······+1/72+1/90
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+.-1/90
=1-1/90
=89/90
100-99+98-97+96-······+4-3+2-1
=1*50=50
1000-1-2-3-4-······-78-79-80
=1000-(1+2+3+4+5+6+.+80)
=1000-(1+80)*40
=1000-3240
=-2240
1/15+2/15+······+13/15+14/15
=(1/15+14/15 )*7.5
=7.5