计算1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/901/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/30 02:12:00

计算1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/901/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90
计算1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90
1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90

计算1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/901/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90
1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90
=(1-1/2)+(1/2-1/3)+(1/3-1/4).(1/9+1/10)
=1-1/2+1/2-1/3+1/3-1/4.1/9-1/10
=1-1/10
=9/10
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