Math

Question 1


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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