-1-3-2-3 n -1-3-2-3 nA- 1B- 2C- 0D- 3

The correct option is B 2 Given complex numbers are cube roots of unity ...

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Geometric Progression

[-1+√-3/2]3 n...

Question

${[\frac{- 1 + \sqrt{(- 3)}}{2}]}^{3 n}$ + ${[\frac{- 1 - \sqrt{(- 3)}}{2}]}^{3 n}$

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Δ_{a} = ∣ ∣ ∣ ∣ ∣ \begin{matrix} a - 1 & n & 6 (a - 1)^{2} & 2 n^{2} & 4 n - 2 (a - 1)^{3} & 3 n^{3} & 3 n^{2} - 3 n \end{matrix} ∣ ∣ ∣ ∣ ∣

\sum_{a = 1}^{n} Δ_{a}

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