1/2+1/2*2+1/2*2*2+1/2*2*2*2+.+1/2*n
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/28 10:00:08
![1/2+1/2*2+1/2*2*2+1/2*2*2*2+.+1/2*n](/uploads/image/z/11563900-52-0.jpg?t=1%2F2%2B1%2F2%2A2%2B1%2F2%2A2%2A2%2B1%2F2%2A2%2A2%2A2%2B.%2B1%2F2%2An)
1/2+1/2*2+1/2*2*2+1/2*2*2*2+.+1/2*n
1/2+1/2*2+1/2*2*2+1/2*2*2*2+.+1/2*n
1/2+1/2*2+1/2*2*2+1/2*2*2*2+.+1/2*n
1/2+1/2*2+1/2*2*2+1/2*2*2*2+.+1/2*n
=1/2+1/2^2+1/2^3+1/2^4+.+1/2^n
=1-1/2^n