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1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/496

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/09/18 11:29:56
1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/496
1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/496
=(1/2+1/4+1/8+1/16+1/16+1/31+1/62+1/124+1/248+1/496+1/496)-1/496-1/16
=(1/2+1/4+1/8+1/8+1/31+1/62+1/124+1/248+1/248)-1/496-1/16
=(1/2+1/4+1/4+1/31+1/62+1/124+1/124)-1/496-1/16
=(1/2+1/2+1/31+1/62+1/62)-1/496-1/16
=(1+1/31+1/31)-1/496-1/16
=1+2/31-1/496-1/16
=1+(32-1-31)/496
=1