Question

1/6+1/12+1/24+1/48省略号加1/380等于多少？

Answer 1

1/6+1/12+1/24+1/48+......+1/384（原数有误）+1/384-1/384=1/3-1/384=127/384

规律：后一个分数是前一个分数的1/2，思路逆运算。

Answer 2

1/6+1/12+1/24+1/48+…+1/380
=（1/2-1/3）+（1/3-1/4）+（1/4-1/6）+…+（1/19-1/20）
=1/2-1/20
=9/20