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[" If "(1+x+x^(2))^(n)=sum(r=0)^(2n)a(r)...

[" If "(1+x+x^(2))^(n)=sum_(r=0)^(2n)a_(r)x^(r)," then prove that "],[[" (a) "a_(r)=a_(2n-r)," (b) "sum_(r=0)^(n-1)a_(r)=(1)/(2)(3^(n)-a_(n))]]

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