作业帮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：作业帮 时间：2024/04/29 06:21:36
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