计算 1/2+3/4+7/8+15/16+31/3 - 知识问答

计算 1/2+3/4+7/8+15/16+31/32+63/64+127/128+255/256

6个回答

原式=(1/2+1/2)+(3/4+1/4)+(7/8+1/8)+.....(255/256+1/256) -(1/2+1/4+1/8+....1/256)
=8-(1/2+1/4+1/8+...+1/128+1/256+1/256)-1/256
=8-(1/2+1/4+....+1/128+1/128)+1/256
....
=8-1+1/256
=7+1/256

相关问题