1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256怎么算?1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256怎么算哦用裂项的方法算

1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256怎么算?1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256怎么算哦用裂项的方法算
1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256怎么算?
1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256怎么算哦
用裂项的方法算

1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256怎么算?1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256怎么算哦用裂项的方法算
1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256
=1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256+1/256-1/256
=1/2+1/4+1/8+1/16+1/32+1/64+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
=1/2+1/4+1/8+1/16+1/16-1/256
=1/2+1/4+1/8+1/8-1/256
=1/2+1/4+1/4-1/256
=1/2+1/2-1/256
=1-1/256
=255/256