Year 2000 2001 2002 2003 2004 2005 Population in millions 33.87 34.21 34.55 34.90 35.25 35.60 Year 2006 2007 2008 2009 2010 Population in millions 36.00 36.36 36.72 37.09 37.25
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 California for 2000 and 2010, with estimates given by the U.S. Census Bureau for 2001 through 2009.a. Divide the population for each year by the population in the preceding year. Round to two decimal places and show that California has a population increase that is approximately geometric.b. Write the general term of the geometric sequence modeling California’s population, in millions, n years after 1999. c. Use your model from part (b) to project California’s population, in millions, for the year 2020. Round to two decimal places.
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