作业帮有理数a不等于1,我们把1/(1-a)称为a的差倒数.2的差倒数是1/(1-2)=-1,-1的差倒数是2的差倒数是1/(1-2)=-1,-1的差倒数是1/[1-(-1)]=1/2,如果a1=3,a2是a1的差倒数,a3是a2的差倒数,a4是a3的差倒数,...,依此类推,
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/05 00:26:53
![有理数a不等于1,我们把1/(1-a)称为a的差倒数.2的差倒数是1/(1-2)=-1,-1的差倒数是2的差倒数是1/(1-2)=-1,-1的差倒数是1/[1-(-1)]=1/2,如果a1=3,a2是a1的差倒数,a3是a2的差倒数,a4是a3的差倒数,...,依此类推,](/uploads/image/z/942077-29-7.jpg?t=%E6%9C%89%E7%90%86%E6%95%B0a%E4%B8%8D%E7%AD%89%E4%BA%8E1%2C%E6%88%91%E4%BB%AC%E6%8A%8A1%2F%281-a%29%E7%A7%B0%E4%B8%BAa%E7%9A%84%E5%B7%AE%E5%80%92%E6%95%B0.2%E7%9A%84%E5%B7%AE%E5%80%92%E6%95%B0%E6%98%AF1%2F%281-2%29%3D-1%2C-1%E7%9A%84%E5%B7%AE%E5%80%92%E6%95%B0%E6%98%AF2%E7%9A%84%E5%B7%AE%E5%80%92%E6%95%B0%E6%98%AF1%2F%281-2%29%3D-1%2C-1%E7%9A%84%E5%B7%AE%E5%80%92%E6%95%B0%E6%98%AF1%2F%5B1-%28-1%29%5D%3D1%2F2%2C%E5%A6%82%E6%9E%9Ca1%3D3%2Ca2%E6%98%AFa1%E7%9A%84%E5%B7%AE%E5%80%92%E6%95%B0%2Ca3%E6%98%AFa2%E7%9A%84%E5%B7%AE%E5%80%92%E6%95%B0%2Ca4%E6%98%AFa3%E7%9A%84%E5%B7%AE%E5%80%92%E6%95%B0%2C...%2C%E4%BE%9D%E6%AD%A4%E7%B1%BB%E6%8E%A8%2C)
有理数a不等于1,我们把1/(1-a)称为a的差倒数.2的差倒数是1/(1-2)=-1,-1的差倒数是2的差倒数是1/(1-2)=-1,-1的差倒数是1/[1-(-1)]=1/2,如果a1=3,a2是a1的差倒数,a3是a2的差倒数,a4是a3的差倒数,...,依此类推,
有理数a不等于1,我们把1/(1-a)称为a的差倒数.2的差倒数是1/(1-2)=-1,-1的差倒数是
2的差倒数是1/(1-2)=-1,-1的差倒数是1/[1-(-1)]=1/2,如果a1=3,a2是a1的差倒数,a3是a2的差倒数,a4是a3的差倒数,...,依此类推,那么a2013=___.
有理数a不等于1,我们把1/(1-a)称为a的差倒数.2的差倒数是1/(1-2)=-1,-1的差倒数是2的差倒数是1/(1-2)=-1,-1的差倒数是1/[1-(-1)]=1/2,如果a1=3,a2是a1的差倒数,a3是a2的差倒数,a4是a3的差倒数,...,依此类推,
a1=3
a2=1/(1-a1)=-1/2
a3=1/(1-a2)=2/3
a4=1/(1-a3)=3
即a4=a1
所以是3额一循环
2013÷3可以整除
所以a2013=a3=2/3