To find the population in the year 2016, we need to continue the given pattern.
First, let's calculate the difference in population between consecutive years:
- From 2002 to 2003, the population increased by 35,200 - 32,000 = 3,200.
- From 2003 to 2004, the population increased by 38,720 - 35,200 = 3,520.
- From 2004 to 2005, the population increased by 42,592 - 38,720 = 3,872.
Based on the given pattern, the population increases by 3,200, 3,520, and 3,872 in consecutive years.
Now, let's find the difference between 2015 and 2016. Since the given pattern continues, the difference in population between consecutive years would also be 3,872.
To find the population in the year 2016, add the difference (3,872) to the population in 2015:
42,592 + 3,872 = 46,464.
Therefore, the population in the year 2016 will be 46,464.