问题描述：
灰常难
最佳答案： 解法一：
1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384
＝1/3+1/6+1/12+1/24+1/48+1/96+1/192＋1/192－1/384
＝1/3+1/6+1/12+1/24+1/48+1/96＋1/96－1/384
＝1/3+1/6+1/12+1/24+1/48＋1/48－1/384
＝1/3+1/6+1/12+1/24＋1/24－1/384
＝1/3+1/6+1/12+1/12－1/384
＝1/3+1/6+1/6－1/384
＝1/3+1/3－1/384
＝2/3－1/384
＝255/384
＝85/128
解法二：
1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384
=1/3(1+1/2+1/4+1/8+1/16+1/32+1/64+1/128)
=1/3(1-1/256)×2
=85/128
解法三：
1/3+1/6+1/12+1/24+1/48+1/96+1/192+1/384
=（384÷3+384÷6+384÷12+384÷24+384÷48+384÷96+384÷192+384÷384）/384
=（128+64+32+16+8+4+2+1）/384
=255/384
=85/128
