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Mathematics 20 Online
OpenStudy (anonymous):

The population of a town is 50,000 people in the year 2000. How many people with live in the town in 2009 if the population increases at a rate of 3% each year? Round your answer to the nearest whole number.

OpenStudy (anonymous):

3^9 I think? @lgbasallote

OpenStudy (lgbasallote):

use geometric sequence \[a_n = a_1 r^{n-1}\] in this problem you're looking for \(a_{9}\) so there are 9 terms. then your common ratio would be 0.03 because it's 3% changed to decimal. then your first term is 50,000 \[a_n = 50,000 \times 0.03^{9-1}\] you were close heh

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