作业帮1-1\\4-1\\8-1\\16-1\\32-164怎么简便计算
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/10 17:43:49
1-1\\4-1\\8-1\\16-1\\32-164怎么简便计算
1-1\\4-1\\8-1\\16-1\\32-164怎么简便计算
1-1\\4-1\\8-1\\16-1\\32-164怎么简便计算
1-1/4-1/8-1/16-1/32-1/64
=1-1/4-(1/4-1/8)-(1/8-1/16)-(1/16-1/32)-(1/32-1/64)
=1-1/4-1/4+1/8-1/8+1/16-1/16+1/32-1/32+1/64
=1-1/4-1/4+1/64
=33/64
因为
1/2+1/4+1/8+1/16+1/32+1/64=1-1/64
1-1/4-1/8-1/16-1/32-1/64=1-(1/4+1/8+1/16+1/32+1/64)
=1+1/2-(1/2+1/4+1/8+1/16+1/32+1/64)
=1+1/2-(1-1/64)
=1/2+1/64
=33/64
1-1\\4-1\\8-1\\16-1\\32-1/64
=1-(1/4+1/8+1/16+1/32+1/64+1/64-1/64)
=1-[1/4+1/8+1/16+1/32+(1/64+1/64）-1/64]
=1-[1/4+1/8+1/16+(1/32+1/32）-1/64]
=1-[1/4+1/8+(1/16+1/16)-1/64]
=1-[1/4+(1/8+1/8）-1/64]
=1-[1/4+1/4]+1/64
=1-1/2+1/64
=1/2+1/64
=33/64