1-(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256)等于( ).
问题描述:
1-(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256)等于( ).
答
1/2+1/4=3/4,1/2+1/4+1/8=7/8……
所以(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256)=255/256
所以1-(1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256)=1-255/256=1/256