Name: 
 

Math 11 Pre-Calc LG 1 Practice Test #2


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

 1. 
The common difference in the arithmetic sequence –3, –9, –15, –21, . . . is
A
mc001-1.jpg
C
–12
B
–6
D
6
 

 2. 
In the formula for the general term of an arithmetic sequence tn = 13 + (n – 1) ´ (6.75), the common difference is
A
6.25
C
6.75
B
87.75
D
13
 

 3. 
Which of the given formulas for the general term of the sequence 11, 18, 25, 32, 39, . . . is correct?
A
mc003-1.jpg
C
mc003-3.jpg
B
mc003-2.jpg
D
mc003-4.jpg
 

 4. 
What is the 12th term of the sequence 7, 3.2, –0.6, –4.4, –8.2, …?
A
–3.8
C
–42.4
B
–34.8
D
48.8
 

 5. 
The first three terms of the sequence defined by mc005-1.jpg are
A
0.5, 0.8, 1.1
C
0.2, –0.1, –0.4
B
–0.3, 0.2, 0.7
D
–0.3, –0.8, –1.3
 

 6. 
The sum of the series (–6) + (–11) + (–16) + mc006-1.jpg + (–26) is
A
–80
C
–160
B
–260
D
92.5
 

 7. 
The sum of an arithmetic series where t1 = 9, t3 = 1, and n = 14 is
A
–476
C
–266
B
–238
D
490
 

 8. 
The sum of an arithmetic series where mc008-1.jpg, mc008-2.jpg, and n = 36 is
A
mc008-3.jpg
C
mc008-5.jpg
B
mc008-4.jpg
D
mc008-6.jpg
 

 9. 
For the arithmetic series (274) + (281) + (288) + mc009-1.jpg + (449), the values of mc009-2.jpg, d, and n are
A
mc009-3.jpg = –274, d = –7, n = 25
C
mc009-5.jpg = 274, d = –7, n = 26
B
mc009-4.jpg = –274, d = 7, n = 25
D
mc009-6.jpg, d = 7, n = 26
 

 10. 
On the first day of the month, Michael places 8¢ in a jar. The next day, he places 12¢ in the jar. The third day, he places 16¢ in the jar, and so on for 25 days. What amount will be in the jar at the end of this period of time?
A
$14.50
C
$14.00
B
$13.00
D
$13.50
 

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. 
–8, –5, –2, 1, …
 

 2. 
3a, 3a – 2b, 3a – 4b, 3a – 6b, …
 
 
Determine the sum of each arithmetic series.
 

 3. 
sa003-1.jpg
 

 4. 
sa004-1.jpg
 

Problem
 

 1. 
In a lottery to join a golf club, the first person drawn from the names must pay $14 000. Each subsequent person drawn pays $250 less than the person before. The last person drawn pays $8000 for a membership.
a) Write the first four terms of the sequence that represents the cost of a membership.
b) Determine t1 and d for the sequence.
c) Determine an explicit formula for the general term.
d) What will the 10th golfer pay for a membership?
e) How many golfers will be able to join the club?
 

 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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