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If (1+x+x^(2))^(n)=1 +a_(1)x+a_(2)x^(2)+a_(3)x^(3) +……..+a_(2n).x^(2n) then prove that: (i) a_(1)+a_(3)+a_(5)+…..+a_(2n-1) =(3^(n)-1)/(2) (ii) a_(2)+a_(4)+a_(6)+……+a_(2n)=(3^(n)-1)/(2) |
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