Consider a population that grows according to the recursive rule P
n
=
P
n
−
1
+
30
, with initial population
P
0
=
40
.

Then:

P
1
=
159

P
2
=

Find an explicit formula for the population. Your formula should involve
n
(use lowercase n)

P
n
=

Use your explicit formula to find
P
100

P
100
=