1/2+1/4+1/8+1/16+1/32+1/64的和,

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1/2+1/4+1/8+1/16+1/32+1/64的和,
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1/2+1/4+1/8+1/16+1/32+1/64的和,
1/2+1/4+1/8+1/16+1/32+1/64的和,

1/2+1/4+1/8+1/16+1/32+1/64的和,
1/2+1/4+1/8+1/16+1/32+1/64
=(1/2+1/4+1/8+1/16+1/32+1/64+1/64)-1/64
=(1/2+1/4+1/8+1/16+1/32+1/32)-1/64
=(1/2+1/4+1/8+1/16+1/16)-1/64
=(1/2+1/4+1/8+1/8)-1/64
=(1/2+1/4+1/4)-1/64
=(1/2+1/2)-1/64
=1-1/64
=63/64