作业帮1/2+1/4+1/8...1/1024=
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/05 20:19:21
1/2+1/4+1/8...1/1024=
1/2+1/4+1/8...1/1024=
1/2+1/4+1/8...1/1024=
1/2+1/4+1/8...1/1024
=1/2+1/4+1/8...1/1024+1/1024-1/1024
=1/2+1/4+1/8...+1/512+1/512-1/1024
=……
=1/2+1/4+1/8+1/8-1/1024
=1/2+1/4+1/4-1/1024
=1/2+1/2-1/1024
=1-1/1024
=1023/1024
1/2+1/4+1/8...+1/1024
=1/2+1/4+1/8...+1/1024+1/1024-1/1024
=1-1/1024（注意这步是从1/1024+1/1024算起，注意你就找的到规律了）
=1023/1024