1/2+3/4+7/8+15/16+31/32+63/64=?简便方法!
问题描述：
1/2+3/4+7/8+15/16+31/32+63/64=?简便方法!
答
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...