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Sa se calculeze sumele 1+x+x^2+...+x^100

Răspuns :

   

[tex]\displaystyle\\1+x+x^2+...+x^{100} =x^0+x^1+x^2+...+x^{100} =\boxed{\bf~\frac{x^{101}-1}{x-1}}\\\\[/tex]