Tuesday

September 30, 2014

September 30, 2014

Posted by **Anonymous** on Tuesday, July 10, 2012 at 8:36am.

Write the first four terms of the sequence whose general term is given.

an = 3n - 1

Answer

2, 3, 4, 5

2, 5, 8, 11

-2, -5, -8, -11

4, 7, 10, 13

3 points

Question 2

Write the first four terms of the sequence whose general term is given.

an = 2(2n - 3)

Answer

-6, -2, 2, 6

-1, 1, 3, 5

-2, -4, -6, -8

-2, 2, 6, 10

3 points

Question 3

Write the first four terms of the sequence whose general term is given.

an = 4n

Answer

1, 16, 81, 256

4, 16, 64, 256

1, 4, 16, 64

16, 64, 256, 1024

3 points

Question 4

Write the first four terms of the sequence whose general term is given.

an = (2/3)n

Answer

1, , ,

, , ,

1, , ,

, , ,

3 points

Question 5

Write the first four terms of the sequence whose general term is given.

an = (-1)n(n + 5)

Answer

6, 7, 8, 9

-6, -14, -24, -36

-6, 7, -8, 9

-6, -7, -8, -9

3 points

Question 6

Write the first four terms of the sequence whose general term is given.

an = (-1)n + 1(n + 6)

Answer

-7, 8, -9, 10

-8, 9, -10, 11

7, -8, 9, -10

7, -16, 27, -40

3 points

Question 7

Write the first four terms of the sequence whose general term is given.

an =

Answer

4, , , 1

-4, , , 1

4, - , , 1

-4, - , , 1

3 points

Question 8

Write the first four terms of the sequence defined by the recursion formula.

a1 = -5 and an = an-1 - 3 for n ≥ 2

Answer

-5, - 4, - 1, 2

5, 2, -1, -4

-5, -8, -11, -14

5, 8, 11, 14

3 points

Question 9

Write the first four terms of the sequence defined by the recursion formula.

a1 = -6 and an = -2an-1 for n ≥ 2

Answer

6, -12, 24, -48

-6, 14, -26, 50

-6, -12, -24, -48

-6, 12, -24, 48

3 points

Question 10

Write the first four terms of the sequence defined by the recursion formula.

a1 = 4 and an = 3an-1 + 2 for n ≥ 2

Answer

4, 14, 44, 134

4, 10, 28, 82

4, 12, 36, 108

4, 14, 38, 110

3 points

Question 11

Find the indicated sum.

Answer

46

60

14

24

3 points

Question 12

Find the indicated sum.

Answer

3 points

Question 13

Find the indicated sum.

Answer

39

30

84

120

3 points

Question 14

Find the indicated sum.

Answer

45

110

74

120

3 points

Question 15

Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated term of the sequence with the given first term, a1, and common difference, d.

Find a8 when a1 = -10, d = -3.

Answer

-31

11

-34

14

3 points

Question 16

Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated term of the sequence with the given first term, a1, and common difference, d.

Find a21 when a1 = 28, d = -5.

Answer

-77

128

-100

-72

3 points

Question 17

Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for an to find a20, the 20th term of the sequence.

1, 4, 7, 10, 13, . . .

Answer

an = 3n + 2; a20 = 62

an = n + 3; a20 = 23

an = 3n - 2; a20 = 58

an = 2n - 3; a20 = 37

3 points

Question 18

Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for an to find a20, the 20th term of the sequence.

25, 16 , 7, -2, . . .

Answer

an = -9n + 25; a20 = -155

an = -9n + 34; a20 = -146

an = 9n - 25; a20 = 155

an = 9n - 34; a20 = 146

3 points

Question 19

Solve the problem.

The population of a town is increasing by 200 inhabitants each year. If its population at the beginning of 1990 was 27,842, what was its population at the beginning of 1998?

Answer

222,680 inhabitants

29,442 inhabitants

29,242 inhabitants

445,360 inhabitants

3 points

Question 20

Find the indicated sum.

Find the sum of the first 50 terms of the arithmetic sequence: 3, -4, -11, -18, . . .

Answer

-8600

-8425

-347

-8420

3 points

Question 21

Find the indicated sum.

Find the sum of the first 48 terms of the arithmetic sequence: 2, 4, 6, 8, . . .

Answer

98

2359

2400

2352

3 points

Question 22

Write out the first three terms and the last term of the arithmetic sequence.

Answer

-5 - 1 + 7 - . . . + 85

1 + 31 + 103 + . . . + 535

-5 + 1 + 7 + . . . + 85

1 + 7 + 13 + . . . + 85

3 points

Question 23

Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum.

Answer

-1522.5

-1421

-1595

-1537

3 points

Question 24

Solve the problem.

A theater has 32 rows with 20 seats in the first row, 25 in the second row, 30 in the third row, and so forth. How many seats are in the theater?

Answer

6400 seats

6240 seats

3120 seats

3200 seats

3 points

Question 25

If the given sequence is a geometric sequence, find the common ratio.

4, 16, 64, 256, 1024

Answer

4

16

not a geometric sequence

3 points

Question 26

If the given sequence is a geometric sequence, find the common ratio.

, , , ,

Answer

20

4

3 points

Question 27

Write the first five terms of the geometric sequence.

a1 = 7; r =

Answer

, , , ,

7, , , ,

7, , , , 8

7, 28, 112, 448, 1792

3 points

Question 28

Write the first five terms of the geometric sequence.

an = 5an-1; a1 = 3

Answer

15, 75, 375, 1875, 9375

3, 8, 13, 18, 23

5, 15, 75, 375, 1875

3, 15, 75, 375, 1875

3 points

Question 29

Use the formula for the sum of the first n terms of a geometric sequence to solve.

Find the sum of the first six terms of the geometric sequence: 3, 15, 75, . . . .

Answer

11718

93

3906

910

3 points

Question 30

Use the formula for the sum of the first n terms of a geometric sequence to solve.

Find the sum of the first 11 terms of the geometric sequence: -3, -6, -12, -24, -48, . . . .

Answer

-6161

-6139

-6141

-6104

3 points

Question 31

Use the formula for the sum of the first n terms of a geometric sequence to solve.

Find the sum of the first five terms of the geometric sequence: , , , . . . .

Answer

3 points

Question 32

Find the indicated sum. Use the formula for the sum of the first n terms of a geometric sequence.

Answer

-2460

-156

244

-7710

3 points

Question 33

Solve the problem.

A job pays a salary of 29,000 the first year. During the next 6 years, the salary increases by 6% each year. What is the salary for the 7th year? What is the total salary over the 7-year period? (Round to the nearest cent.)

Answer

$43,605.28; $287,026.57

$41,137.05; $243,421.29

$41,137.05; $202,284.24

$43,605.28; $202,300.9

4 points

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