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If $n$ is an integer which leaves remainder one when divided by three, then $(1+\sqrt {3}i)^n+(1-\sqrt {3}i)^n=$

\[\begin {array} {1 1} (1)\;-2^{n+1} & \quad (2)\;2^{n+1} \\ (3)\;-(-2)^n & \quad (4)\;-2^n \end {array}\]

1 Answer

$(3)\;-(-2)^n$
answered Nov 7, 2013 by pady_1
 
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