Odredi x1006x_{1006}x1006 ako je
x1x1+1=x2x2+3=x3x3+5=⋯=x1006x1006+2011,\frac{x_1}{x_1 + 1} = \frac{x_2}{x_2 + 3} = \frac{x_3}{x_3 + 5} = \dots = \frac{x_{1006}}{x_{1006} + 2011},x1+1x1=x2+3x2=x3+5x3=⋯=x1006+2011x1006,
x1+x2+⋯+x1006=5032.x_1 + x_2 + \dots + x_{1006} = 503^2.x1+x2+⋯+x1006=5032.