1/2+1/4+1/8...1/1024=
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/21 04:51:38
![1/2+1/4+1/8...1/1024=](/uploads/image/z/1613388-12-8.jpg?t=1%2F2%2B1%2F4%2B1%2F8...1%2F1024%3D)
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