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1/2+1/4+1/8+1/16+1/32+1/64+...+1/512+1/1024等于多少?还有一道：1/12+1/20+1/30+1/42+1/56+1/72+1/90=?如果可以的话,这样我就可以自己做啦!
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1/2+1/4+1/8+1/16+1/32+1/64+1/128 + ..+1/1024
=1/2+1/4+1/8+1/16+1/32+1/64+.(1/512+1/512)-1/1024
=1-1/1024
=1023/1024
1/2+1/4+1/8+1/16+1/32+1/64+1/128 + ..+1/1024
=1/2+1/4+1/8+1/16+1/32+1/64+.(1/512+1/512)-1/1024
=1-1/1024
=1023/1024
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