1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256=?(越快越好,谢谢了)
6个回答

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