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Question : Write the first five terms of the sequence described : 2151848

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

Write the first five terms of the sequence described.

1) a_{n} = (-1)^{n} + 20

A) -20, 20, -20, 20, -20

B) 21, 19, 21, 19, 21

C) 19, -21, 19, -21, 19

D) 19, 21, 19, 21, 19

2) Arithmetic, with a_{1} = 19, d = 5

A) 5, 24, 43, 62, 81

B) 19, 5, 48, 72, 96

C) 19, 24, 29, 34, 39

D) 19, 5, 29, 34, 39

3) Geometric, with a_{4} = 30 and r = (1/2)

A) 120, 60, 30, 15, (15/2)

B) 80, 40, 20, 10, 5

C) 40, 20, 10, 5, (5/2)

D) 240, 120, 60, 30, 15

Find a_{4} for the sequence described.

4) Arithmetic, with a_{1} = 8 and d = -3

A) 5

B) 17

C) 2

D) -1

5) Geometric, with a_{5} = 100 and a_{7} = 25

A) 50 or - 50

B) 20 or - 20

C) (1/200) or - (1/200)

D) 200 or - 200

Find S_{5} for the sequence described.

6) Arithmetic, with a_{2} = 15 and a_{3} = 20

A) 40

B) 95

C) 50

D) 100

7) Geometric, with a_{5} = 72 and a_{7} = 18

A) 2232 or 792

B) 1080 or 408

C) 558 or 198

D) 1116 or 396

Solve the problem.

8) The number of mutual funds available to investors in Dereguland for each year period the period 1996-2000 is given in the following table.

To the nearest whole number, what was the average number of funds available during this period?

A) 5,073

B) 4,970

C) 5,157

D) 12,683

9) If $4,100 is deposited in an ordinary annuity at the end of each quarter for 8 yr and earns 4% interest compounded quarterly, how much will be in the account at the end of this term?

A) $38,431.42

B) $151,113.31

C) $153,725.68

D) $1,028,304.09

Provide an appropriate response.

10) Can you find the sum of the infinite geometric series 2 + 8 + 32 + . . . ? Why or Why not?

A) No. This is not a geometric series.

B) No. The common ratio, r, is greater than 1.

C) Yes. This is a geometric series.

D) Yes. The common ratio, r, is less than 1.

Find the sum if it exists.

11)

A) -24

B) 6

C) -28

D) -9

12)

A) 50

B) 1,129

C) 51

D) 72

13)

A) 1,251

B) 781,875

C) 1,249

D) 780,625

14)

A) (2,728/3)

B) (2,737/3)

C) (2,680/3)

D) (2,698/3)

15)

A) (1/2)

B) 2

C) - 2

D) Does not exist

16)

A) - (5/46)

B) 5

C) - 5

D) Does not exist

Evaluate.

17) 7!

A) 720

B) 5,040

C) 6,227,020,800

D) 40,320

18) 0!

A) 0

B) 1

C) 2

D) Undefined

19) (8!/5! 3!)

A) 56

B) 6,720

C) 336

D) 40,320

20) _{8}C_{3}

A) 20,160

B) 6,720

C) 56

D) 336

Expand the expression.

21) (3x - 1)^{4}

A) (9x^{2} - 3x + 1)^{4}

B) 81x^{4} - 108x^{3} + 54x^{2} - 12x + 1

C) 81x^{3} - 108x^{2} + 54x - 12

D) 81x^{4} + 54x^{3} - 108x^{2} - 12x + 1

Solve the problem.

22) Write the fifth term of (2x - (y/3))^{10}.

A) (35840/3)x^{6}y^{4}

B) (8960/27)x^{6}y^{4}

C) (4480/27)x^{6}y^{4}

D) (1280/27)x^{6}y^{4}

23) Terri bought a computer for $200. She agreed to pay $50 per month for 4 months, plus 2% interest, on the unpaid balance. Find the total cost of the computer.

A) $210

B) $208

C) $206

D) $190

24) A town has a population of 30,000 people and is increasing by 10% every year. What will the population be at the end of 5 years?

A) 48,315 people

B) 43,923 people

C) 45,000 people

D) 18,315 people