The number of cars sold weekly by a new automobile dealership grows according to a linear growth model. The first week the dealership sold six cars ($\displaystyle {P}_{{0}}={6}$). The second week the dealership sold eight cars ($\displaystyle {P}_{{1}}={8}$).

Write the recursive formula for the number of cars sold, $\displaystyle {P}_{{N}}$, in the ($\displaystyle {N}+{1}$)^th week.

$\displaystyle {P}_{{N}}$ = $\displaystyle {P}_{{{N}-{1}}}+$

Write the explicit formula for the number of cars sold, $\displaystyle {P}_{{N}}$, in the ($\displaystyle {N}+{1}$)^th week.

$\displaystyle {P}_{{N}}$ = $\displaystyle {N}+$

If this trend continues, how many cars will be sold in the sixth week?

cars

In each box, enter a single number. Do not leave any boxes blank (enter 1 or 0 as appropriate if necessary).