1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512,急不懂得问我啊

1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512,急不懂得问我啊
1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512,急
不懂得问我啊

1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512,急不懂得问我啊
因为1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512
=(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512)-1/2
=1-1/512-1/2
=1/2-1/512
=255/512

原式=1-1/2-1/512
=255/512

1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512
=(1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/512+1/512)-1/512
=1/2-1/512
=255/512

原式=1/4+1/4-1/8+1/8-1/16+1/16-1/32+1/32-1/64+1/64-1/128+1/128-1/256+1/256-1/512=1/2-1/512=255/512