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(x^n-1)/(x-1) =(x-1)[x^(n-1)+x^(n-2)+x^(n-3)+… +x³+x²+1]/(x-1) =[x^(n-1)+x^(n-2)+x^(n-3)+… +x³+x²+1] =1+1+1+...+1 =n
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