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»


SOLUTION :`Sigma|Z+alpha^(K)z^(2)|^(2)=Sigma|z|^(2)+Sigma|alpha^(k)||z^(2)|^(2)+0`


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