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!

1/2-(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