Write the first five terms of the geometric sequence with the given first term a and common ratio r.
209)
a =4; r =5
209)
A)
4, 9, 14, 19, 24
B)
20, 100, 500, 2500, 12,500
C)
4, 20, 100, 500, 2500
D)
5, 20, 80, 320, 1280
210)
a =6; r = – 5
210)
A)
6, 1, –4, –9, –14
B)
6, –30, 150, –750, 3750
C)
–5, –30, 150, –750, 3750
D)
6, 30, 150, –750, 3750
Find the indicated sum.
211)
4
k = 2
k(k + 4)
211)
A)
65
B)
70
C)
30
D)
44
Solve the problem.
212)
The population of a town is increasing by 400 inhabitants each year. If its population at the
beginning of 1990 was 22,289, what was its population at the beginning of 1997?
212)
A)
311,878 people
B)
24,689 people
C)
155,939 people
D)
25,089 people
Write the first five terms of the geometric sequence with the given first term a and common ratio r.
213)
a =6; r =1
3
213)
A)
2, 2
3, 2
9, 2
27 , 2
81
B)
6, 2, 2
3, 2
9, 2
27
C)
6, 18, 54, 162, 486
D)
6, 19
3, 20
3, 7, 22
3
Write the first five terms of the arithmetic sequence with the given first term a and common difference d.
214)
a = – 16; d =2
214)
A)
–16, –14, –12, –10, –8
B)
–12, –10, –8, –6, –4
C)
–12, –14, –16, –18, –20
D)
–8, –10, –12, –14, –16
Find the indicated sum.
215)
5
k = 3
(k2+ 7)
215)
A)
45
B)
71
C)
90
D)
33
Write the indicated term of the given sequence.
216)
a =12, 24, 36, 48; a2
216)
A)
2
B)
24
C)
12
D)
36
Determine whether the given sequences are equal to each other.
217)
(k2–9) and (k + 3)(k – 3)
217)
A)
equal
B)
not equal
34
Write the first five terms of the arithmetic sequence with the given first term a and common difference d.
218)
a =21; d = – 5
218)
A)
25, 19, 13, 7, 1
B)
21, 16, 11, 6, 1
C)
–21, –16, –11, –6, –1
D)
0, 21, 16, 11, 6
Find a general term, (ak), that fits the displayed terms of the given sequence.
219)
1, 5, 9, 13 , 17
219)
A)
(4k –3) 4
k=0
B)
(4k –3) 5
k=1
C)
(4k +3) 4
k=0
D)
(4k +3) 5
k=1
Find the indicated sum.
220)
4
k = 1
2k
220)
A)
30
B)
14
C)
18
D)
20
221)
4
k=1
(2k – 3)
221)
A)
7
B)
5
C)
8
D)
9
222)
6
k =3
9k
222)
A)
81
B)
162
C)
108
D)
54
Determine the indicated term of the given recursively defined sequence.
223)
a1=4, a2=12, ak+2=ak+1+ 8; a4
223)
A)
12
B)
36
C)
28
D)
20
Write the first five terms of the geometric sequence with the given first term a and common ratio r.
224)
a = – 8; r = – 4
224)
A)
–8, 32, –128, 512, –2048
B)
–8, –12, –16, –20, –24
C)
–4, 32, –128, 512, –2048
D)
–8, –32, –128, 512, –2048
Write the indicated term of the given sequence.
225)
(ak) =7(3k); a2
225)
A)
63
B)
21
C)
567
D)
189
226)
a =4; d =5
226)
A)
9, 14, 19, 24, 29
B)
4, 9, 14, 19, 24
C)
0, 4, 9, 14, 19
D)
4, 8, 12, 16, 20
227)
Keyana takes a job with a starting salary of $31,000 for the first year with an annual increase of
4.5% beginning in the second year. What is Keyana‘s salary, to the nearest dollar, at the end of the
seventh year?
227)
A)
$41,089
B)
$38,930
C)
$42,850
D)
$40,370
Find the infinite sum, if possible.
228)
k=1
1
10
k–1
228)
A)
1
9
B)
not possible
C)
–1
9
D)
10
9
229)
A theater has 24 rows with 30 seats in the first row, 33 in the second row, 36 in the third row, and so
forth. How many seats are in the theater?
229)
A)
1548 seats
B)
3096 seats
C)
3168 seats
D)
1584 seats
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Answer Key
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Answer Key
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Answer Key
Testname: C1
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Answer Key
Testname: C1
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Answer Key