Exam 13: Sequences
Exam 1: Notation and Symbols329 Questions
Exam 2: Simplifying Expressions285 Questions
Exam 3: Paired Data and Graphing Ordered Pairs217 Questions
Exam 4: Multiplication With Exponents300 Questions
Exam 5: The Greatest Common Factor and Factoring by Grouping295 Questions
Exam 6: Reducing Rational Expressions to Lowest Terms263 Questions
Exam 7: Review of Solving Equations262 Questions
Exam 8: The Slope of a Line190 Questions
Exam 9: Rational Exponents264 Questions
Exam 10: Completing the Square187 Questions
Exam 11: Exponential Functions226 Questions
Exam 12: The Circle95 Questions
Exam 13: Sequences190 Questions
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The total national health expenditures, in billions of dollars, increased by approximately $50 billion from 1995 to 1996 and from 1996 to 1997. The total national health expenditures for 1997 was approximately $1,092 billion (U.S. Census Bureau, Nation Health Expenditures). If health expenditures continue to increase at this approximate rate, what would the expected expenditures be in 2005?
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This problem gives some information about a specific geometric progression.
.

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The total national health expenditures, in billion of dollars, increased by approximately $50 billion from 1995 to 1996 and from 1996 to 1997. The total national health expenditures for 1997 was approximately $1,092 billion (U.S. Census Bureau, Nation Health Expenditures). If the same approximate increase is assumed to continue, what would be the estimated total expenditures for 1998, 1999, and 2000? __________ Write the general term for the sequence, where
represents the number of years since 1997.
__________ If health expenditures continue to increase at this approximate rate, what would the expected expenditures be in 2008? $ __________


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Determine if the sequence is a geometric progression. If it is, then identify the common ratio r . 

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Find the sum of the first 50 terms of the sequence 5, 9, 13, 17, . . . .
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Assume that a thin sheet of paper is 0.007 inch thick. The paper is torn in half, and the two halves placed together. Give all answers to three decimal places, if necessary. a. How thick is the pile of torn paper? __________ in. b. The pile of paper is torn in half again, and then the two halves placed together and torn in half again. The paper is large enough so this process may be performed a total of 8 times. How thick is the pile of torn paper? __________ in. c. Refer to the tearing and piling process described in part b. Assuming that somehow the original paper is large enough, how thick is the pile of torn paper if 22 tears are made? __________ in.
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