Starting in the year 2012, the number of speeding tickets issued each year in Middletown is predicted to grow according to an exponential growth model. During the year 2012, Middletown issued 150 speeding tickets ($\displaystyle {P}_{{0}}={150}$). Every year thereafter, the number of speeding tickets issued is predicted to grow by 15%.

If $\displaystyle {P}_{{n}}$ denotes the predicted number of speeding tickets during the year $\displaystyle {2012}+{n}$, then

Write the recursive formula for $\displaystyle {P}_{{n}}$

$\displaystyle {P}_{{n}}$ = $\displaystyle \times{P}_{{{n}-{1}}}$

Write the explicit formula for $\displaystyle {P}_{{n}}$

$\displaystyle {P}_{{n}}$ = Preview Question 6 Part 2 of 3  

If this trend continues, how many speeding tickets are predicted to be issued in 2025?

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