1/2+1/4+1/8+1/16+1/32+1/64=?

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1/2+1/4+1/8+1/16+1/32+1/64=?
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1/2+1/4+1/8+1/16+1/32+1/64=?
1/2+1/4+1/8+1/16+1/32+1/64=?

1/2+1/4+1/8+1/16+1/32+1/64=?
1/2+1/4+1/8+1/16+1/32+1/64
=32/64+16/64+8/64+4/64+2/64+1/64
=(32+16+8+4+2+1)/64
=63/64

63/64

原式=1-1/2+1/2-1/4+1/4-1/8+1/8-1/16+1/16-1/32+1/32-1/64=1-1/64=63／64

1/2+1/4+3/4
1/2+1/4+1/8=7/8
1/2+1/4+1/8+1/16 =15/16
1/2+1/4+1/8+1/16+1/32=31/32
1/2+1/4+1/8+1/16+1/32+1/64=63/64
很有规律哦

1/2+1/4+1/8+{1/16+[1/32+(1/64+1/64)]}-1/64
=1/2+[1/4+（1/8+1/8）]-1/64
=1/2+1/2-1/64
=1-1/64
=63/64