1+1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110 简便方法
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/17 04:30:24
![1+1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110 简便方法](/uploads/image/z/1649332-28-2.jpg?t=1%2B1%2F2%2B1%2F6%2B1%2F12%2B1%2F20%2B1%2F30%2B1%2F42%2B1%2F56%2B1%2F72%2B1%2F90%2B1%2F110+%E7%AE%80%E4%BE%BF%E6%96%B9%E6%B3%95)
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1+1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110 简便方法
1+1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110 简便方法
1+1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110 简便方法
1+1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110
=1+(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+...+(1/10-1/11)
=1+(1-1/11)
=2-1/11
=21/11