1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256=

来源：学生作业帮编辑：神马作文网作业帮分类：数学作业时间：2024/11/10 19:23:19

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
再问：我看不懂
再答：一个字，凑，右端+1/256-1/256，这是一种方法，最好记住，之类的题目就没问题了。（）就是下一步的由来。 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
再问：干嘛要加又减呢
再答：我说了是凑的方法，这种方法很巧，我也只是把这种方法记住的。楼下的等比数列求和也可以，不过我猜你还没学到吧，数学上把一题学会了，然后学会举一反三就行了。

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 1/2-1/4-1/8-16/1-32/1-64/1-128/1-256/1 1+1/2+1/4+1/8-1/16+1/32+1/64-1/128+1/256=?简便运算 1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256= 2/1+4/1+8/1+16/1+32/1+64/1+128/1+256/1=? 1-(1/2)-(1/4)-(1/8)-(1/16)-(1/32)-(1/64)-(1/128)-(1/256) 1-1/2-4/1-1/8-1/16-1/32-1/64-1/128-1/256等于多少? 1-（1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256）等于（）. 1-1/2-1/4-1/8-1/16-1/32-1/64-1/128-1/256 要过程急! 1+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+1/512