作业帮1/2+3/4+7/8+15/16+31/32+63/64=?简便方法!
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/27 23:46:40
1/2+3/4+7/8+15/16+31/32+63/64=?简便方法!
1/2+3/4+7/8+15/16+31/32+63/64=?简便方法!
1/2+3/4+7/8+15/16+31/32+63/64=?简便方法!
1/2+3/4+7/8+15/16+31/32+63/64
=（1-1/2)+(1-1/4)+(1-1/8)+(1-1/16)+(1-1/32)+(1-1/64)
=6-(1/2+1/4+1/8+1/16+1/32+1/64)
=6-(1/2+1/4+1/8+1/16+1/32+1/64+1/64)+1/64
=6-(1/2+1/4+1/8+1/16+1/32+1/32)+1/64
=6-(1/2+1/4+1/8+1/16+1/16)+1/64
=6-(1/2+1/4+1/8+1/8)+1/64
=6-(1/2+1/4+1/4)+1/64
=6-(1/2+1/2)+1/64
=5又1/64