1/2-(1/2-1/4)-(1/4-1/8)……-(1/512-1/1024)快!
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![1/2-(1/2-1/4)-(1/4-1/8)……-(1/512-1/1024)快!](/uploads/image/z/1613395-19-5.jpg?t=1%2F2-%281%2F2-1%2F4%29-%281%2F4-1%2F8%29%E2%80%A6%E2%80%A6-%281%2F512-1%2F1024%29%E5%BF%AB%21)
1/2-(1/2-1/4)-(1/4-1/8)……-(1/512-1/1024)快!
1/2-(1/2-1/4)-(1/4-1/8)……-(1/512-1/1024)
快!
1/2-(1/2-1/4)-(1/4-1/8)……-(1/512-1/1024)快!
1/1024
把全部括号去掉就可以了,你会发现前面的全部约去了,只剩最后一项
去括号,变号,最终得1/1024
1/2-(1/2-1/4)-(1/4-1/8)……-(1/512-1/1024)
=1/2-1/2+1/4-1/4+1/8-1/8......+1/512-1/512+1/1024
=1/1024