## Zadatak A-1.1.

Odredi $x_{1006}$ ako je

$$
\begin{aligned}
& \frac{x_{1}}{x_{1}+1}= \frac{x_{2}}{x_{2}+3}=\frac{x_{3}}{x_{3}+5}=\ldots=\frac{x_{1006}}{x_{1006}+2011} \\
& x_{1}+x_{2}+\ldots+x_{1006}=503^{2}
\end{aligned}
$$