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Question : Write out the first five terms of the sequence : 2151794

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Write out the first five terms of the sequence.

1) a_{n} = n- 3

A) 2, 1, 0, -1, -2

B) -3, -2, -1, 0, 1

C) -2, -1, 0, 1, 2

D) 2, 1, 0, 1, 2

2) a_{n} = 3n- 1

A) 2, 5, 8, 11, 14

B) 4, 7, 10, 13, 16

C) 2, 3, 4, 5, 6

D) -2, -5, -8, -11, -14

3) a_{n} = n^{2} - n

A) 0, 3, 8, 15, 24

B) 0, 2, 6, 12, 20

C) 2, 6, 12, 20, 30

D) 1, 4, 9, 16, 25

4) a_{n} = 3^{n}

A) 3, 9, 27, 81, 243

B) 1, 3, 9, 27, 81

C) 9, 27, 81, 243, 729

D) 1, 8, 27, 64, 125

5) a_{n} = (1/n^{2})

A) (1/4), (1/9), (1/16), (1/25), (1/36)

B) (1/4), (2/9), (3/16), (4/25), (5/36)

C) 1, (1/4), (1/9), (1/16), (1/25)

D) 1, (1/2), (1/3), (1/4), (1/5)

6) a_{n} = (-1)^{n + 3}

A) -1,-1,-1,-1,-1

B) 1, -1, 1, -1, 1

C) -1, 1, -1, 1, -1

D) 1, 1, 1, 1, 1

7) a_{n} = ( n/n + 3)

A) (1/4), (2/5), (1/2), (4/7), (27/7)

B) 0, (1/4), (2/5), (1/2), (4/7)

C) (1/4), (1/5), (1/6), (1/7), 0

D) (1/4), (2/5), (1/2), (4/7), (5/8)

8) a_{n} = ((-1)^{n}/n^{2} - 5)

A) (1/4), - 1, - (1/4), (1/11), (1/20)

B) (1/4), - 1, - (1/4), (1/11), - (1/20)

C) - (1/5), (1/4), - 1, - (1/4), (1/11)

D) - (1/4), 1, (1/4), - (1/11), (1/20)

9) a_{n} = n + (1/n)

A) 2, (3/2), (4/3), (5/4), (6/5)

B) 0, 2, (5/2), (10/3), (17/4)

C) 2, (5/2), (10/3), (17/4), (26/5)

D) 1, (3/2), (4/3), (5/4), (6/5)

10) a_{n} = n - (3/n)

A) 4, (7/2), 4, (19/4), (28/5)

B) -2, - (1/2), 0, (1/4), (2/5)

C) -2, (1/2), 2, (13/4), (22/5)

D) 0, 4, 5, 6, - (1/5)

Find the indicated term for the sequence.

11) a_{n} = 2(4n - 3); a_{8}

A) 88

B) 58

C) 40

D) 64

12) a_{n} = 4n - 1; a_{14}

A) 56

B) 57

C) 42

D) 55

13) a_{n} = n^{2} - n; a_{15}

A) 210

B) 240

C) -210

D) 15

14) a_{n} = 3^{n}; a_{2}

A) 6

B) 8

C) 3

D) 9

15) a_{n} = (4n - 9)(3n + 7); a_{7}

A) 242

B) 713

C) 532

D) 375

16) a_{n} = (2n - 1/3n + 2); a_{9}

A) (17/29)

B) (17/26)

C) (15/29)

D) (15/26)

Find a general term, an, for the given terms of the sequence.

17) -8, -16, -24, -32, -40, . . .

A) a_{n} = 8n

B) a_{n} = - (1/8)

C) a_{n} = -8n + 1

D) a_{n} = -8n

18) 4, 20, 36, 52, 68, . . .

A) a_{n} = 16n - 3

B) a_{n} = 4(16)^{n-1}

C) a_{n} = 12n - 16

D) a_{n} = 4(4n - 3)

19) -1, 1, 3, 5, 7, . . .

A) a_{n} = 3n - 2

B) a_{n} = 2^{n-1}

C) a_{n} = n + 2

D) a_{n} = 2n - 3

20) 0, 2, 6, 12, 20, . . .

A) a_{n} = 4n - 6

B) a_{n} = 2n - 2

C) a_{n} = 2^{n-1} - 1

D) a_{n} = n^{2} - n

21) 2, 4, 8, 16, 32, . . .

A) a_{n} = 2^{n}

B) a_{n} = 2 + 2(n - 1)

C) a_{n} = 2^{n-1} + 1

D) a_{n} = 2n

22) 1, (1/4), (1/9), (1/16), (1/25), . . .

A) a_{n} = (2)^{1-n}

B) a_{n} = (1/n^{n-1})

C) a_{n} = (1/3n - 2)

D) a_{n} = (1/n^{2})

23) (5/4), (5/16), (5/64), (5/256), (5/1,024), . . .

A) a_{n} = (4/5n)

B) a_{n} = (5/4n)

C) a_{n} = (5/4^{n})

D) a_{n} = (4/5^{n})

24) (2/10), (3/11), (4/12), (5/13), . . .

A) a_{n} = (n + 1/n + 9)

B) a_{n} = (n/n - 9)

C) a_{n} = (n + 1/n^{9})

D) a_{n} = (n/n + 9)

Solve the problem.

25) A man earned $3,000 the first year he worked. If he received a raise of $500 at the end of each year, what was his salary during the 15th year?

A) $7,000

B) $10,500

C) $10,000

D) None of the above

26) The population of a town was 34,400 at the beginning of 1970. If the population decreased 400 people per year, how many people lived in the town at the beginning of 1985?

A) 28,800

B) 6,000

C) 28,400

D) 28,000

27) An investment is worth $2,000, and its value is increasing by 9% every year. What will its value be at the end of 11 years? Round your answer to the nearest dollar.

A) $5,625

B) $4,735

C) $5,161

D) $3,980

28) An investment is worth $30,000, and its value is increasing by 10% every year. What will its value be at the end of 4 years? Round your answer to the nearest dollar.

A) $43,923

B) $39,930

C) $42,000

D) $13,923