Exam 13: Sequences

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Use the binomial formula to expand the following. Use the binomial formula to expand the following.

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Use the binomial formula to expand the following. Use the binomial formula to expand the following.

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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. This problem gives some information about a specific geometric progression.   . .

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Find the fraction form for Find the fraction form for

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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 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? $ __________ represents the number of years since 1997. 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? $ __________ __________ If health expenditures continue to increase at this approximate rate, what would the expected expenditures be in 2008? $ __________

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Expand and simplify. Expand and simplify.

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

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Find the sum of the following geometric series. Find the sum of the following geometric series.

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Determine the general term for the sequence. Determine the general term for the sequence.

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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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Find the fifth term in the expansion of Find the fifth term in the expansion of   . .

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Find the fifth term in the expansion of Find the fifth term in the expansion of   . .

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Write the first four terms in the expansion of the following. Write the first four terms in the expansion of the following.

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Find the sum of the following geometric series. Find the sum of the following geometric series.

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Use the binomial formula to expand the following. Use the binomial formula to expand the following.

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Find the fraction form for Find the fraction form for

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Expand and simplify. Expand and simplify.

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