怎样简便就怎样算？
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1+3+5+7+...+23=12²=144
1/3+1/6+1/12+1/24+1/48+1/96
=1/3+1/6+1/12+1/24+1/48+1/96+1/96-1/96
=1/3+1/6+1/12+1/24+1/48+1/48-1/96
=1/3+1/6+1/12+1/24+1/24-1/96
=1/3+1/6+1/12+1/12-1/96
=1/3+1/6+1/6-1/96
=1/3+1/3-1/96
=2/3-1/96
=21/32
1+1/2+3/4+3/8+3/16+...+3/128
=1+1/2+3/4+3/8+3/16+...+3/128+3/128-3/128
=1+1/2+3/4+3/8+3/16+...+3/64-3/128
=1+1/2+3/4+3/8+3/16+...+3/32-3/128
=1+1/2+3/4+3/8+3/16+3/16-3/128
=1+1/2+3/4+3/8+3/8-3/128
=1+1/2+3/4+3/4-3/128
=1+1/2+3/2-3/128
=3-3/128
=2又125/128
1/3+1/6+1/12+1/24+1/48+1/96
=1/3+1/6+1/12+1/24+1/48+1/96+1/96-1/96
=1/3+1/6+1/12+1/24+1/48+1/48-1/96
=1/3+1/6+1/12+1/24+1/24-1/96
=1/3+1/6+1/12+1/12-1/96
=1/3+1/6+1/6-1/96
=1/3+1/3-1/96
=2/3-1/96
=21/32
1+1/2+3/4+3/8+3/16+...+3/128
=1+1/2+3/4+3/8+3/16+...+3/128+3/128-3/128
=1+1/2+3/4+3/8+3/16+...+3/64-3/128
=1+1/2+3/4+3/8+3/16+...+3/32-3/128
=1+1/2+3/4+3/8+3/16+3/16-3/128
=1+1/2+3/4+3/8+3/8-3/128
=1+1/2+3/4+3/4-3/128
=1+1/2+3/2-3/128
=3-3/128
=2又125/128
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