1/2+1/4+1/8+1/16+.+1/512结果是多少
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![1/2+1/4+1/8+1/16+.+1/512结果是多少](/uploads/image/z/5542120-64-0.jpg?t=1%2F2%2B1%2F4%2B1%2F8%2B1%2F16%2B.%2B1%2F512%E7%BB%93%E6%9E%9C%E6%98%AF%E5%A4%9A%E5%B0%91)
1/2+1/4+1/8+1/16+.+1/512结果是多少
1/2+1/4+1/8+1/16+.+1/512结果是多少
1/2+1/4+1/8+1/16+.+1/512结果是多少
1/2+1/4+1/8+1/16+.1/256+1/512
=1/2+1/4+1/8+1/16+.1/256+1/512+1/512-1/512
=1/2+1/4+1/8+1/16+.1/256+1/256-1/512
=1/2+1/4+1/8+1/16+.1/128-1/512
=...
=1/2+1/2-1/512
=1-1/512
=511/512
1/2+1/4+1/8+1/16+......1/256+1/512
=1/2+1/4+1/8+1/16+......1/256+1/512+1/512-1/512
=1/2+1/4+1/8+1/16+......1/256+1/256-1/512
=1/2+1/4+1/8+1/16+......1/128-1/512
=...
=1/2+1/2-1/512
=1-1/512
=511/512