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Unit 7: Sequences and Series Quiz

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Determine the common difference for the sequence: 13, 17, 21, 25, 29, ...
a.
4
c.
–3
b.
5
d.
–4
 

 2. 
The 11th term of a sequence is 24. If the first term is 374, then what is the common difference?
a.
–35
c.
–34
b.
–27
d.
–28
 

 3. 
Determine the number of terms in the sequence: 5240, 4365, 3490, 2615, ..., –2635
a.
8
c.
11
b.
10
d.
9
 

 4. 
Determine the general form for the arithmetic sequence whose 5th term is 10 and consecutive terms decrease by 4.
a.
22 – 4(n – 1)
c.
26 – 4(n – 1)
b.
–2 + 4(n – 1)
d.
–6 + 4(n – 1)
 

 5. 
What is the general term of the sequence: 6, 42, 294, 2058,14406, …
a.
tn = 6(7)mc005-1.jpg
c.
tn = mc005-3.jpg
b.
tn = 6(6)mc005-2.jpg
d.
tn = mc005-4.jpg
 

 6. 
What is the 6th term of the sequence: mc006-1.jpg
a.
mc006-2.jpg
c.
mc006-4.jpg
b.
mc006-3.jpg
d.
mc006-5.jpg
 

 7. 
If the 9th term in a geometric sequence is 45 927 and the common ratio is 3, then what is the first term?
a.
7
c.
6
b.
8
d.
9
 

 8. 
Determine the sum of the arithmetic sequence: 5 + 18+ 31 + 44 + ... +. 161.
a.
1079
c.
996
b.
1992
d.
2158
 

 9. 
Determine mc009-1.jpg for the series: –452 – 396 – 340 – 284 –  ...
a.
6448
c.
12298
b.
7176
d.
6200
 

 10. 
The number of chairs in a row at an opera house follows the arithmetic series: mc010-1.jpg. If there are going to be 50 rows. How many chairs does the opera house have?
a.
6273
c.
6250
b.
6027
d.
6150
 

 11. 
Determine the sum of the geometric series 3 + 15 + 75 + 375 + ... + 46 875.
a.
58 593
c.
19 531
b.
11 718
d.
292 968
 

 12. 
Calculate the sum of the first 7 terms of the geometric series with first term 2 and 4th term 250.
a.
7812
c.
19 531
b.
195 312
d.
39 062
 



 
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