1+1/2+1/4+1/8+1/16+1/32简便计算
问题描述:
1+1/2+1/4+1/8+1/16+1/32简便计算
答
1+1/2+1/4+1/8+1/16+1/32
=1+(1-1/2)+(1/2-1/4)+(1/4-1/8)+(1/8-1/16)+(1/16-1/32)
=1+1-1/2+1/2-1/4+1/4-1/8+1/8-1/16+1/16-1/32
=2-1/32
=1又31/32