Question

小学六年级数学（巧算）

要过程，跪谢.............各位帮帮忙额
要简便过程
急急急急急急急急急急急急急急急急急急急急急急急急急急!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

1-1/2=1/2
1/2-1/察陵配4=1/汪乱4
.
.
.
1/256-1/败指512 =1/512

Answer 2

1-1/2=1/2
1/2-1/4=1/4
1/4-1/悄辩历8=1/8...

所以启搜得数为灶洞1/512

Answer 3

1-1/2-1/4-1/高迹8-1/16-1/32-...-1/伏嫌512
=1-[(1/2)+(1/2)^2+(1/2)^3+(1/2)^4+(1/2)^5+...+(1/2)^9]
=1-{(1/2)*[1-(1/2)^9]/(1-1/缺念手2)}
=1-1+(1/2)^9
=(1/2)^9
=1/512

Answer 4

1-1/2=1/2
1-1/2-1/4=1/4
1-1/2-1/4-1/8=1/8
1-1/洞旦2-1/4-1/8-1/16=1/侍颤念16
......
1-1/2-1/4-1/老困8-1/16-1/32-......1/512=1/512

Answer 5

1-1/2=1/2
1-1/2-1/4=1/4
1-1/2-1/4-1/8=1/8
1-1/洞旦2-1/4-1/8-1/16=1/侍颤念16
......
1-1/2-1/4-1/老困8-1/16-1/32-......1/512=1/512