1/2-(1/2-1/4)-(1/4-1/8)-...-(1/8192-1/16284)咋算哪?5555555.

1/2-(1/2-1/4)-(1/4-1/8)-...-(1/8192-1/16284)咋算哪?5555555.
1/2-(1/2-1/4)-(1/4-1/8)-...-(1/8192-1/16284)咋算哪?5555555.

1/2-(1/2-1/4)-(1/4-1/8)-...-(1/8192-1/16284)咋算哪?5555555.
=1/2-1/2+1/4-1/4+1/8+.-1/8192+1/16284
中间消除
=1/16284

拆开括号，在观察规律,最后可得1/16284