1/2+1/4+1/8+1/16+......+1/512结果是多少

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最佳答案

回答者:网友
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

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