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If $n$ is an integer which leaves remainder one when divided by three, then $(1+\sqrt {3}i)^n+(1-\sqrt {3}i)^n=$
\[\begin {array} {1 1} (1)\;-2^{n+1} & \quad (2)\;2^{n+1} \\ (3)\;-(-2)^n & \quad (4)\;-2^n \end {array}\]
jeemain
eamcet
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q21
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Oct 9, 2013
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$(3)\;-(-2)^n$
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Nov 7, 2013
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