1/2+1/4+1/8……+1/256+1/512+1/1024 简便计算,
问题描述:
1/2+1/4+1/8……+1/256+1/512+1/1024 简便计算,
答
=1/2+1/4+1/8……+1/256+1/512+1/1024 +1/1024-1/1024
=1/2+1/4+1/8……+1/256+1/512+1/512-1/1024
=1-1/1024
=1023/1024