Find the indicated sum.
131)
Find the sum of the even integers between 21 and 49.
131)
A)
455
B)
560
C)
525
D)
490
Write the first four terms of the sequence whose general term is given.
132)
an=9n
132)
A)
8, 7, 6, 5
B)
0, 9, 18, 27
C)
9, 18, 27, 36
D)
10, 11, 12, 13
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.
133)
1, 5, 9, 13 , 17 , . . .
133)
A)
an=4n –3; a20 =77
B)
an= n +4; a20 =24
C)
an=3n –4; a20 =56
D)
an=4n + 3; a20 =83
Write a formula for the general term (the nth term) of the geometric sequence.
134)
–1
5, 1
10 , –1
20 , 1
40 , . . .
134)
A)
an= – 1
5–1
2
n – 1
B)
an= – 1
5–1
2(n – 1)
C)
an= – 1
5
n – 1
+3
10
D)
an= – 1
2–1
5
n – 1
37
Find the probability.
135)
Two 6–sided dice are rolled. What is the probability that the sum is odd and the number on one of
the dice is a 3?
135)
A)
3
36
B)
1
6
C)
1
2
D)
1
12
Find the indicated sum.
136)
Find the sum of the first 20 terms of the arithmetic sequence: 7, 1, –5, –11, . . .
136)
A)
–113
B)
–1060
C)
–992
D)
–1000
137)
Find the sum of the first 53 terms of the arithmetic sequence: 2, 4, 6, 8, . . .
137)
A)
2867
B)
2862
C)
108
D)
2915
Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum.
138)
42
i = 1
(3i – 4)
138)
A)
2646
B)
2541
C)
2793
D)
2478
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.
139)
19, 14 , 9, 4, . . .
139)
A)
an=5n – 19; a20 =81
B)
an=24 – 5n; a20 = – 76
C)
an=19 – 5n; a20 = – 81
D)
an=5n – 24; a20 =76
Use the formula for nCr to evaluate the expression.
140)
11C4
140)
A)
7920
B)
1,663,200
C)
330
D)
9,979,200
Evaluate the factorial expression.
141)
12!
6!6!
141)
A)
462
B)
924
C)
665,280
D)
1848
Solve the problem.
142)
A hamburger shop sells hamburgers with cheese, relish, lettuce, tomato, onion, mustard, or
ketchup. How many different hamburgers can be concocted using any 4 of the extras?
142)
A)
420
B)
840
C)
35
D)
210
Write out the first three terms and the last term of the arithmetic sequence.
143)
55
i=1
–4i
143)
A)
–4–8–12 – . . . –220
B)
–4–16 –64 – . . . –880
C)
–4+16 –48 + . . . –880
D)
–1 –4–8– . . . –220
Use the formula for the sum of the first n terms of a geometric sequence to solve.
144)
Find the sum of the first 9 terms of the geometric sequence: 1
6, 1
2, 3
2, 9
2, 27
2, . . . .
144)
A)
9835
6
B)
9841
6
C)
9839
6
D)
4924
3
Express the repeating decimal as a fraction in lowest terms.
145)
0.5
145)
A)
1
2
B)
5
9
C)
1
20
D)
50
9
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.
146)
Find a140 when a1= – 4, d =3.
146)
A)
–424
B)
413
C)
416
D)
–421
Find the probability.
147)
A bag contains 13 balls numbered 1 through 13. What is the probability of selecting a ball that has
an even number when one ball is drawn from the bag?
147)
A)
6
B)
13
6
C)
2
13
D)
6
13
Solve the problem.
148)
A club elects a president, vice–president, and secretary–treasurer. How many sets of officers are
possible if there are 10 members and any member can be elected to each position? No person can
hold more than one office.
148)
A)
5040
B)
240
C)
720
D)
360
Write the first five terms of the geometric sequence.
149)
a1=3; r = – 3
149)
A)
3, 9, 27, –81, 243
B)
3, 0, –3, –6, –9
C)
3, –9, 27, –81, 243
D)
–3, –9, 27, –81, 243
Find the sum of the infinite geometric series, if it exists.
150)
–30 – 6 –6
5–6
25 – . . .
150)
A)
–186
5
B)
15
2
C)
–75
2
D)
does not exist
Evaluate the expression.
151)
10C6
8C4
–43!
41!
151)
A)
–1889
B)
–1803
C)
–40
D)
1803
Solve the problem.
152)
To train for a race, Will begins by jogging 12 minutes one day per week. He increases his jogging
time by 6 minutes each week. Write the general term of this arithmetic sequence, and find how
many whole weeks it takes for him to reach a jogging time of one hour.
152)
A)
an=6n +6; 9 weeks
B)
an=6n +12; 9 weeks
C)
an=6n +6; 8 weeks
D)
an=6n +12; 8 weeks
Find the indicated sum.
153)
6
i =3
8i
153)
A)
48
B)
96
C)
144
D)
72
Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum.
154)
45
i = 1
(–6i – 7)
154)
A)
–6142.5
B)
–6300
C)
–6390
D)
–6525
Solve the problem.
155)
As part of her retirement savings plan, Patricia deposited $300 in a bank account during her first
year in the workforce. During each subsequent year, she deposited $35 more than the previous
year. Find how much she deposited during her twentieth year in the workforce. Find the total
amount deposited in the twenty years.
155)
A)
$1000; $26,000
B)
$1000; $13,000
C)
$965; $12,650
D)
$965; $25,300
156)
A stack of 8 different cards are shuffled and spread out face down. If 5 cards are turned face up,
how many different 5–card combinations are possible?
156)
A)
336
B)
3360
C)
6720
D)
56
Write a formula for the general term (the nth term) of the geometric sequence.
157)
7, –14, 28, –56, 112, . . .
157)
A)
an=7(–2)n
B)
an=7(–2n)
C)
an=a1– 2n
D)
an=7(–2)n – 1
158)
3, 9, 27, 81, 243, . . .
158)
A)
an=3(3)n – 1
B)
an=3(3)n
C)
an=3(3n)
D)
an=a1+3n
Solve the problem.
159)
A basketball player signs a contract with a starting salary of $830,000 per year and an annual
increase of 4.5% beginning in the second year. What will the athlete’s salary be, to the nearest
dollar, in the seventh year?
159)
A)
$1,081,650
B)
$1,080,876
C)
$1,083,233
D)
$1,079,554
If the given sequence is a geometric sequence, find the common ratio.
160)
1
8, 1
13 , 1
18 , 1
23
160)
A)
not a geometric sequence
B)
1
5
C)
5
D)
51
5
D
Write the first four terms of the sequence whose general term is given.
161)
an=2(2n – 1)
161)
A)
–2, 2, 6, 10
B)
1, 3, 5, 7
C)
2, 6, 10, 14
D)
2, 4, 6, 8
Use the formula for the sum of the first n terms of a geometric sequence to solve.
162)
Find the sum of the first 14 terms of the geometric sequence: –5, –10, –20, –40, –80, . . . .
162)
A)
–81,915
B)
–81,878
C)
–81,935
D)
–81,913
Find the sum of the infinite geometric series, if it exists.
163)
144 + 24 + 4 +2
3+ . . .
163)
A)
864
5
B)
172
C)
–144
5
D)
does not exist
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