1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/496
来源：学生作业帮助网 编辑：六六作业网 时间：2024/11/22 20:16:18
1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/4961/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/4961/2+1/4+1/8+
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+1/31+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