A pond currently has 2000 trout. Each month, 20 more trout are added and the population grows 3% due to natural growth. The document asks to calculate the trout population after 2 months and determine how long it will take for the population to reach 5000 trout.

1. A pond currently has 2000 trout in it.  A fish hatchery decided to add an additional 20 trout
each month.  In addition, it is known that the trout population is growing 3% per
month.  The size of the population after n months is given by the recursively-defined
sequence:
A) How many trout are in the pond at the end of the second month?  That is, what is P(2)?
B) Using a graphing utility, determine how long it will be before the trout population reaches
5000.
A pond currently has 2000 trout in it. A fish hatchery decided to add an additional 20 trout each
month. In addition, it is known that the trout population is growing 3% per month. The size of
the population after n months is given by the recursively-defined sequence: How many trout are
in the pond at the end of the second month? That is, what is P(2)? Using a graphing utility,
determine how long it will be before the trout population reaches 5000.
Solution
p1 = 1.03 * p0 + 20
= 1.03 *2000 + 20
= 2060 + 20
= 2080
A) p2 = 1.03 * 2080 + 20
= 2142.4+ 20
=2162.4 =2162
B)