Name: 
 

Unit 06-02 - Sample Quiz: Arithmetic & Geometric Series



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

 1. 

mc001-1.jpg
Find the sum of the first 18 terms for the arithmetic series (S18):

5 + 8 +11 + 14 + 17 +  . . .  + 53 + 56 =

a.
522
c.
1044
b.
549
d.
1098
 

 2. 

mc002-1.jpg
Jack decided to start exercising.  The first day he jogged for 20 minutes.  The next day he wanted to jog for 3 minutes more than the pervious day.  He wanted to continue increasing by the same amount like this for every one of the days in a week.

If he succeeded in doing this how many total minutes did he run for the week?
mc002-2.jpg
a.
38 minutes
c.
174 minutes
b.
58 minutes
d.
203 minutes
 

 3. 

mc003-1.jpg
Find the sum of the finite arithmetic series.

mc003-2.jpg
a.
35
c.
210
b.
37
d.
222
 

 4. 

mc004-1.jpg
Find the sum of the first 7 terms for the geometric series:

mc004-2.jpg

a.
mc004-3.jpg
c.
mc004-5.jpg
b.
mc004-4.jpg
d.
mc004-6.jpg
 

 5. 

mc005-1.jpg
Johnny Appleseed was creating a fractal tree design:
mc005-2.jpg

mc005-3.jpg

The first tree, (a1), only has 1 leaf (the green point).  The second tree, (a2), has a total of 3 leaves.  The third tree, (a3), has 7 total leaves.  How many total leaves will be on the 7th tree?
a.
63
c.
128
b.
127
d.
256
 

 6. 

mc006-1.jpg
Find the sum of the finite geometric series.

mc006-2.jpg

a.
5
c.
4955
b.
500
d.
5115
 

 7. 

Rewrite the repeating number as a fraction

0.17171717.....


a.
mc007-1.jpg
c.
mc007-3.jpg
b.
mc007-2.jpg
d.
mc007-4.jpg
 

 8. 

mc008-1.jpg
Find the sum of the infinite geometric series, if possible.

mc008-2.jpg


a.
mc008-3.jpg
c.
726
b.
972
d.
729
 

 9. 

mc009-1.jpg
Find the sum of the infinite geometric series, if possible.

mc009-2.jpg
a.
mc009-3.jpg
c.
mc009-5.jpg
b.
mc009-4.jpg
d.
mc009-6.jpg , the series is divergent
 



 
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