Question

Verifica daca (3^2002+3^2003+3^2004):3^2003=13

Answer 1

[tex] (3^{2002} + 3^{2003} + 3^{2004}) : 3^{2003} = \\ = 3^{2002} (1+3+3^2) : 3^{2003} = \\ =(1+3+9)* 3^{2002} : 3^{2003} = \\ = 13* 3^{2002-2003} = \\ =13* 3^{-1} = \\= 13* \frac{1}{3} = \\ = \frac{13}{3} = \\ =4,(3)[/tex]

Deci, fals.

Answer 2

(3^2002+3^2003+3^2004):3^2003=13
3^2002(1+3+3^2):3^2003=13
13·3^2002:3^2003=13
13·3^(2002-2003)=13
13·3^-1=13
13·1/3=13
13/3=13 (F)