计算:1/2-(1/2-1/4)-(1/4-1/8)-...-(1/8192-1/16384).
问题描述:
计算:1/2-(1/2-1/4)-(1/4-1/8)-...-(1/8192-1/16384).
答
1/2-(1/2-1/4)-(1/4-1/8)-...-(1/8192-1/16384).
=1/2-1/2+1/4-1/4+1/8-……-1/5192+1/16384
=1/16384