1/2+1/4+1/8+1/16+1/32.+1/256怎么写1/2+1/4+1/8+1/16+1/32+...+1/256怎么算出答案,

1/2+1/4+1/8+1/16+1/32.+1/256怎么写1/2+1/4+1/8+1/16+1/32+...+1/256怎么算出答案,
1/2+1/4+1/8+1/16+1/32.+1/256怎么写
1/2+1/4+1/8+1/16+1/32+...+1/256怎么算出答案,

1/2+1/4+1/8+1/16+1/32.+1/256怎么写1/2+1/4+1/8+1/16+1/32+...+1/256怎么算出答案,
1/2+1/4=1-1/4=3/4
1/2+1/4+1/8=1-1/8=7/8
类推
1/2+1/4+1/8+1/16+1/32+...+1/256=1-1/256=255/256

1/2+1/4+1/8+1/16+1/32+...+1/256
=1/2+1/4+1/8+1/16+1/32+...+1/256+1/256-1/256
=1/2+1/4+1/8+1/16+1/32+...+1/128+1/128-1/256
=1/2+1/4+1/8+1/16+1/32+1/64+1/64-1/256
=1/2+1/4+1/8+1/16+1/32+1/32-1/256
=……
=1-1/256=255/256

1/2+1/4+1/8+1/16+1/32+...+1/256
=1/2+1/4+1/8+1/16+1/32+...+1/256+1/256-1/256
=1/2+1/4+1/8+1/16+1/32+...+1/128+1/128-1/256
=1/2+1/4+1/8+1/16+1/32+1/64+1/64-1/256
=1/2+1/4+1/8+1/16+1/32+1/32-1/256
=……
=1-1/256=255/256
加上一个1/256再减去一个 就行了

1/2+1/4+1/8+1/16+1/32+...+1/256
=1/2+1/4+1/8+1/16+1/32+...+1/256+1/256-1/256
=1/2+1/4+1/8+1/16+1/32+...+1/128+1/128-1/256
=1/2+1/4+1/8+1/16+1/32+1/64+1/64-1/256
=1/2+1/4+1/8+1/16+1/32+1/32-1/256
类推
=1-1/256=255/256

255/256，不信自己算