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Expand the expression using the Binomial Theorem. -Expand the expression using the Binomial Theorem. -  A)    B)    C) (   D)


A) Expand the expression using the Binomial Theorem. -  A)    B)    C) (   D)
B) Expand the expression using the Binomial Theorem. -  A)    B)    C) (   D)
C) ( Expand the expression using the Binomial Theorem. -  A)    B)    C) (   D)
D) Expand the expression using the Binomial Theorem. -  A)    B)    C) (   D)

E) B) and C)
F) C) and D)

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Solve. -During a five-year period, a company doubles its profits each year. If the profits at the end of the fifth yearare $160,000, then what are the profits for each of the first four years?


A) $10,000, $20,000, $40,000, $80,000
B) $10,000, $20,000, $40,000, $100,000
C) $11,000, $22,000, $44,000, $86,000
D) $10,000, $20,000, $30,000, $40,000

E) B) and C)
F) C) and D)

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Solve. -A particular substance decays in such a way that it loses half its weight each day. How much of thesubstance is left after 9 days if it starts out at 64 grams?


A) Solve. -A particular substance decays in such a way that it loses half its weight each day. How much of thesubstance is left after 9 days if it starts out at 64 grams? A)    gram B) 8 grams C)    gram D) 4 grams gram
B) 8 grams
C) Solve. -A particular substance decays in such a way that it loses half its weight each day. How much of thesubstance is left after 9 days if it starts out at 64 grams? A)    gram B) 8 grams C)    gram D) 4 grams gram
D) 4 grams

E) A) and D)
F) A) and C)

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Solve. -A local civic theater has 22 seats in the first row and 21 rows in all. Each successive row contains 3additional seats. How many seats are in the civic theater?


A) 1092 seats
B) 790 seats
C) 1070 seats
D) 1010 seats

E) None of the above
F) A) and D)

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Write out the sum. -Write out the sum. -  A)    B)    C) 0   D)


A) Write out the sum. -  A)    B)    C) 0   D)
B) Write out the sum. -  A)    B)    C) 0   D)
C) 0 Write out the sum. -  A)    B)    C) 0   D)
D) Write out the sum. -  A)    B)    C) 0   D)

E) B) and C)
F) None of the above

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Express the sum using summation notation. -Express the sum using summation notation. -  A)    B)    C)    D)


A) Express the sum using summation notation. -  A)    B)    C)    D)
B) Express the sum using summation notation. -  A)    B)    C)    D)
C) Express the sum using summation notation. -  A)    B)    C)    D)
D) Express the sum using summation notation. -  A)    B)    C)    D)

E) A) and D)
F) B) and C)

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Write out the first five terms of the sequence. -Write out the first five terms of the sequence. -  A)    B)    C)    D)


A) Write out the first five terms of the sequence. -  A)    B)    C)    D)
B) Write out the first five terms of the sequence. -  A)    B)    C)    D)
C) Write out the first five terms of the sequence. -  A)    B)    C)    D)
D) Write out the first five terms of the sequence. -  A)    B)    C)    D)

E) A) and B)
F) A) and C)

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Write out the first five terms of the sequence. -Write out the first five terms of the sequence. -  A)    B)    C)    D)


A) Write out the first five terms of the sequence. -  A)    B)    C)    D)
B) Write out the first five terms of the sequence. -  A)    B)    C)    D)
C) Write out the first five terms of the sequence. -  A)    B)    C)    D)
D) Write out the first five terms of the sequence. -  A)    B)    C)    D)

E) B) and C)
F) A) and D)

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Solve. -Use the Binomial Theorem to approximate Solve. -Use the Binomial Theorem to approximate   to 5 decimal places. A) 0.88584 B) 0.85841 C) 0.88854 D) 0.88548 to 5 decimal places.


A) 0.88584
B) 0.85841
C) 0.88854
D) 0.88548

E) A) and B)
F) A) and D)

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Solve. -A basketball player signs a contract with a starting salary of $850,000 per year and an annual increase of6.5% beginning in the second year. What will the athleteΚΉs salary be, to the nearest dollar, in the sixth year?


A) $1,164,574
B) $1,165,367
C) $1,163,330
D) $1,166,854

E) A) and C)
F) A) and B)

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Solve the problem. -The population of a town is increasing by 500 inhabitants each year. If its population at the beginning of1990 was 25,517, what was its population at the beginning of 1995?


A) 28,017 inhabitants
B) 127,535 inhabitants
C) 27,517 inhabitants
D) 255,070 inhabitants

E) B) and C)
F) A) and D)

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Mathematical Induction 1 Prove Statements Using Mathematical Induction Write the word or phrase that best completes each statement or answers the question. Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n. - Mathematical Induction 1 Prove Statements Using Mathematical Induction  Write the word or phrase that best completes each statement or answers the question. Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n. -

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First, we show that the statement is tru...

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Find the indicated term of the sequence. -The eighteenth term of the arithmetic sequence Find the indicated term of the sequence. -The eighteenth term of the arithmetic sequence   A)    B)    C)    D)


A) Find the indicated term of the sequence. -The eighteenth term of the arithmetic sequence   A)    B)    C)    D)
B) Find the indicated term of the sequence. -The eighteenth term of the arithmetic sequence   A)    B)    C)    D)
C) Find the indicated term of the sequence. -The eighteenth term of the arithmetic sequence   A)    B)    C)    D)
D) Find the indicated term of the sequence. -The eighteenth term of the arithmetic sequence   A)    B)    C)    D)

E) A) and C)
F) C) and D)

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Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. -16 + 8 + 4 + 2 + . . .


A) Converges; 32
B) Converges; - 16
C) Converges; 28
D) Diverges

E) C) and D)
F) B) and D)

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The given pattern continues. Write down the nth term of the sequence The given pattern continues. Write down the nth term of the sequence   suggested by the pattern. -3 , 9 , 27, 81, 243 , ... A)    B)    C)    D)   suggested by the pattern. -3 , 9 , 27, 81, 243 , ...


A) The given pattern continues. Write down the nth term of the sequence   suggested by the pattern. -3 , 9 , 27, 81, 243 , ... A)    B)    C)    D)
B) The given pattern continues. Write down the nth term of the sequence   suggested by the pattern. -3 , 9 , 27, 81, 243 , ... A)    B)    C)    D)
C) The given pattern continues. Write down the nth term of the sequence   suggested by the pattern. -3 , 9 , 27, 81, 243 , ... A)    B)    C)    D)
D) The given pattern continues. Write down the nth term of the sequence   suggested by the pattern. -3 , 9 , 27, 81, 243 , ... A)    B)    C)    D)

E) None of the above
F) A) and D)

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Find the indicated term of the sequence. -The ninth term of the arithmetic sequence 0, 11, 22, ...


A) 88
B) 99
C) 110
D) 80

E) A) and B)
F) A) and C)

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Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. -1, -3, 9, -27, 81, ...


A) Geometric; r = -3
B) Geometric; r = 3
C) Arithmetic; d = -4
D) Neither

E) B) and D)
F) A) and B)

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Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. -Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. -  A) Arithmetic; d = -4 B) Geometric; r = 3 C) Arithmetic; d = 3 D) Neither


A) Arithmetic; d = -4
B) Geometric; r = 3
C) Arithmetic; d = 3
D) Neither

E) A) and B)
F) A) and D)

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Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. -Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. -  A) Converges;   B) Converges;   C) Converges; ∞ D) Diverges


A) Converges; Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. -  A) Converges;   B) Converges;   C) Converges; ∞ D) Diverges
B) Converges; Determine whether the infinite geometric series converges or diverges. If it converges, find its sum. -  A) Converges;   B) Converges;   C) Converges; ∞ D) Diverges
C) Converges; ∞
D) Diverges

E) A) and C)
F) C) and D)

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Find the sum. -Find the sum. -  A) 304.1 B) 47.96 C) 256.14 D) 212.08


A) 304.1
B) 47.96
C) 256.14
D) 212.08

E) C) and D)
F) All of the above

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