Find the common difference for the arithmetic sequence.
294)
0, –2, –4, –6, . . .
294)
A)
–2
B)
6
C)
–4
D)
–6
Write the first four terms of the sequence whose general term is given.
295)
an=5
n2
295)
A)
5
4, 5
9, 5
16 , 5
25
B)
1, 1
4, 1
9, 1
16
C)
5, 5
4, 5
9, 5
16
D)
1, 2
4, 3
9, 4
16
Solve the problem. Round to the nearest hundredth of a percent if needed.
296)
Use of the internet for shopping is increasing dramatically, but still is somewhat age dependent.
When a popular web site that sells books asked the age of users who bought products from them
over the internet, they obtained the following data. What is the probability that a buyer on this web
site is aged 60–69?
Age Group Number
10–19 1999
20–29 3745
30–39 2873
40–49 505
50–59 367
60–69 229
70–79 79
296)
A)
3.78%
B)
2.34%
C)
3.75%
D)
2.39%
Write a formula for the general term (the nth term) of the geometric sequence.
297)
–1
4, 1
8, –1
16 , 1
32 , . . .
297)
A)
an= – 1
4
n – 1
+3
8
B)
an= – 1
4–1
2
n – 1
C)
an= – 1
4–1
2(n – 1)
D)
an= – 1
2–1
4
n – 1
Write the first four terms of the sequence whose general term is given.
298)
an=(n – 1)!
n3
298)
A)
1
3, 1
6, 2
9, 1
2
B)
0, 0, 2
27 , 3
32
C)
1, 1
8, 2
27 , 3
32
D)
0, 0, 2
9, 1
2
Find the term indicated in the expansion.
299)
(3x + 5)5; 5th term
299)
A)
1875x
B)
5625x2
C)
15,625
D)
9375x
Solve the problem.
300)
Doctors predict that by administering a vaccine, the number of new cases of a certain childhood
disease will decrease by half each year. If 1000 people were afflicted with the disease in 2012,
estimate the number of new cases in 2017. Round to the nearest whole number.
300)
A)
63 new cases
B)
125 new cases
C)
16 new cases
D)
31 new cases
Find the probability.
301)
If two 8–sided dice are rolled what is the probability that both numbers will be even?
301)
A)
33
64
B)
31
64
C)
1
4
D)
1
2
Write the first four terms of the sequence whose general term is given.
302)
an= n – 6
302)
A)
–6, –5, –4, –3
B)
–24, –18, –12, –6
C)
–5, –4, –3, –2
D)
1, 2, 3, 4
Solve the problem.
303)
How many 2–digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0? No digit can
be used more than once.
303)
A)
90
B)
3,628,800
C)
1,814,400
D)
45
Use the Binomial Theorem to expand the binomial and express the result in simplified form.
304)
(x + 2)4
304)
A)
x4+ 2x3+ 24x2+ 16x + 16
B)
x4+ 8x3+ 24x2+ 32x + 16
C)
x4+ 8x3+ 16x2+ 32x + 16
D)
x4+ 8x3+ 24x2+ 8x + 16
Solve the problem.
305)
From 10 names on a ballot, a committee of 4 will be elected to attend a political national
convention. How many different committees are possible?
305)
A)
2520
B)
210
C)
151,200
D)
5040
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