math
posted by Brittany on .
A town has a population of 32,000 in the year 2002; 35,200 in the year 2003; 38,720 in the year 2004; and 42,592 in the year 2005. If this pattern continues, what will the population be in the year 2016?

Consider the increase per year:
20022003: 3200 factor of 1.100
20032004: 3520 factor of 1.100
20042005: 3872 factor of 1.100
This is obviously a geometric series. The population increases 10% per year, like compound interest. After 14 years (if the trend continues) , the population is
(1.1)^14*32000 = 121,520