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 230 speeding tickets ( P
0
=
230
). Every year thereafter, the number of speeding tickets issued is predicted to grow by 5%.

If
P
n
denotes the predicted number of speeding tickets during the year
2012
+
n
, then

Write the recursive formula for
P
n

P
n
=
×
P
n
−
1

Write the explicit formula for
P
n

P
n
=

If this trend continues, how many speeding tickets are predicted to be issued in 2030?

tickets