Concept explainers
In Exercises 69- 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 US. 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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College Algebra, Books A La Carte Edition Plus MyLab Math with eText -- Access Card Package (7th Edition)
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt