question related to (-1)^(1/3)

*To*: mathgroup at smc.vnet.net*Subject*: [mg96711] question related to (-1)^(1/3)*From*: "Ò»Ò¶ÖªÇï" <lxguard-hw at yahoo.com.cn>*Date*: Sun, 22 Feb 2009 00:33:36 -0500 (EST)

I have tried expression: RecurrenceTable[{x[n + 1] == -x[n]^(1/3), x[0] == 1}, x, {n, 1, 200}] // N Mathematica produce {-1., -0.5 - 0.866025 I, -0.766044 + 0.642788 I, -0.686242 - 0.727374 I, -0.71393 + 0.700217 I, -0.704818 - 0.709389 I, ... But it should be {1, -1, 1, -1, ... } If you try (-1)^(1/3) In[10]:= (-1)^(1/3) Out[10]= (-1)^(1/3) In[11]:= % // N Out[11]= 0.5 + 0.866025 I

**Follow-Ups**:**Re: question related to (-1)^(1/3)***From:*Murray Eisenberg <murray@math.umass.edu>