Let `alpha^(k)` when `k=0, 1, 2, 3, 4….253` are `254^(th)` roots of unity then the unity digit of `sum_(k=0)^(253)|z+alpha^(k)z^(2)|^(2)` is ________ (where `z=e^(i((2pi)/7))`)

Let `alpha^(k)` when `k=0, 1, 2, 3, 4….253` are `254^(th)` roots of

1.	Let `alpha^(k)` when `k=0, 1, 2, 3, 4….253` are `254^(th)` roots of unity then the unity digit of `sum_(k=0)^(253)\|z+alpha^(k)z^(2)\|^(2)` is ________ (where `z=e^(i((2pi)/7))`)
Answer» Correct Answer - 8 `Sigma\|z+alpha^(k)z^(2)\|^(2)=Sigma\|z\|^(2)+Sigma\|alpha^(k)\|\|z^(2)\|^(2)+0`

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Let `alpha^(k)` when `k=0, 1, 2, 3, 4….253` are `254^(th)` roots of unity then the unity digit of `sum_(k=0)^(253)|z+alpha^(k)z^(2)|^(2)` is ________ (where `z=e^(i((2pi)/7))`)

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