1+1/2+1/4+1/8+.1/1024
来源：学生作业帮助网 编辑：六六作业网 时间：2024/10/06 05:59:20
1+1/2+1/4+1/8+.1/10241+1/2+1/4+1/8+.1/10241+1/2+1/4+1/8+.1/10241+1/2+1/4+1/8+...+1/1024=1+1/2*(1-1/2
1+1/2+1/4+1/8+.1/1024
1+1/2+1/4+1/8+.1/1024
1+1/2+1/4+1/8+.1/1024
1+1/2+1/4+1/8+...+1/1024
=1+1/2*(1-1/2^10)/(1-1/2)
=1+1023/1024
=2047/1024