Concept explainers
In Exercises 133-134, you will develop geometric sequences that model the population growth for California and Texas, the two most populated U.S. states.
The table shows the population of Texas for 2000 and 2010, with estimates given by the U.S. Census Bureau for 2001 through 2009.
Year | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | |||||
Population in millions | 20.85 | 21.27 | 21.70 | 22.13 | 22.57 | 23.02 | |||||
Year | 2006 | 2007 | 2008 | 2009 | 2010 | ||||||
Population in millions | 23.48 | 23.95 | 24.43 | 24.92 | 25.15 |
a. Divide the population for each year by the population in the preceding year. Round to two decimal places and show that Texas has a population increase that is approximately geometric.
b. Write the general term of the geometric sequence modeling Texas's population, in millions, n years after 1999.
c. Use your model from part (b) to project Texas's population, in millions, for the year 2020. Round to two decimal places.
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