Name: 
 

Math 11 Pre-Calc LG 1 Practice Test #3


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

 1. 
Which of the following numbers occurs in the sequence 1, –6, –13, –20, –27, . . .?
A
–62
C
–89
B
–71
D
–80
 

 2. 
The common difference in the arithmetic sequence 6, 14, 22, 30, . . . is
A
8
C
mc002-1.jpg
B
–8
D
16
 

 3. 
The common difference in the arithmetic sequence mc003-1.jpg, mc003-2.jpg, mc003-3.jpg, mc003-4.jpg, mc003-5.jpg, . . . is
A
3
C
mc003-6.jpg
B
9
D
mc003-7.jpg
 

 4. 
In the formula for the general term of an arithmetic sequence tn = –4 + (n – 1) ´ (8.75), the common difference is
A
–4
C
8.75
B
–12.75
D
–35
 

 5. 
Which of the given formulas for the general term of the sequence 23, 33, 43, 53, 63, . . . is correct?
A
mc005-1.jpg
C
mc005-3.jpg
B
mc005-2.jpg
D
mc005-4.jpg
 

 6. 
The sum of the series (7) + (2) + (–3) + mc006-1.jpg + (–23) is
A
–322
C
52.5
B
–56
D
–112
 

 7. 
The sum of an arithmetic series where t1 = 10, t3 = 1, and n = 11 is
A
–275
C
–162.25
B
–137.5
D
357.5
 

 8. 
The sum of an arithmetic series where mc008-1.jpg, mc008-2.jpg, and n = 23 is
A
mc008-3.jpg
C
mc008-5.jpg
B
mc008-4.jpg
D
mc008-6.jpg
 

 9. 
For the arithmetic series (295) + (313) + (331) + mc009-1.jpg + (655), the values of mc009-2.jpg, d, and n are
A
mc009-3.jpg, d = 18, n = 21
C
mc009-5.jpg = –295, d = –18, n = 20
B
mc009-4.jpg = 295, d = –18, n = 21
D
mc009-6.jpg = –295, d = 18, n = 20
 

 10. 
On the first day of the month, Michael places 8¢ in a jar. The next day, he places 11¢ in the jar. The third day, he places 14¢ in the jar, and so on for 46 days. What amount will be in the jar at the end of this period of time?
A
$32.89
C
$35.42
B
$34.73
D
$33.58
 

Short Answer
 
 
For each arithmetic sequence, determine
a) the value of t1 and d
b) an explicit formula for the general term
c) t20
 

 1. 
sa001-1.jpg, 1, sa001-2.jpg, sa001-3.jpg, …
 
 
Determine whether each sequence is geometric, arithmetic, or neither. Justify your answer.
 

 2. 
5, –10, 20, –40, …
 
 
Determine the sum of each arithmetic series.
 

 3. 
sa003-1.jpg
 

 4. 
sa004-1.jpg
 

Problem
 

 1. 
At the end of the second week after opening, a new fitness club has 870 members. At the end of the seventh week, there are 1110 members. Suppose the increase is arithmetic.
a) How many members joined the club each week?
b) How many members were there in the first week?
 

 2. 
The sum of the first two terms of an arithmetic series is 15 and the sum of the next two terms is 43. What are the first four terms of the series?
 



 
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