Name:_______________________
Section:________________
TEST I: MULTIPLE CHOICE TEST
INSTRUCTIONS: Read each question carefully and comprehensively. Choose and ENCIRCLE
the best answer from the options provided. You have 60 minutes to answer the test. Doublecheck your answers before submitting your test.
1. What is a pattern?
A.) A random set of numbers
B.) A repeating or predictable sequence
C.) A group of shapes
D.) A single number
2. Which of the following is an example of a repeating pattern?
A.) 5, 10, 15, 20, ...
B.) 1, 2, 4, 8, ...
C.) 3, 5, 7, 9, ...
D.) Red, blue, red, blue, ...
3. What is an arithmetic sequence?
A.) A sequence where each term has a common ratio
B.) A sequence with a common difference between terms
C.) A sequence that does not follow a pattern
D.) A random set of numbers
4. Which term is the "first term" in the sequence 7, 14, 21, 28, ...?
A.) 7
B.) 14
C.) 21
D.) 28
5. What is an arithmetic mean?
A.) The difference between two numbers
B.) A number between two terms in an arithmetic sequence
C.) The first term in a sequence
D.) The total sum of all terms
6. In the sequence 3, 6, 9, 12,... What is the 4th term?
A.) 6
B.) 9
C.) 12
D.) 15
7. What is the common difference in the sequence 8, 11, 14, 17, ...?
A.) 1
B.) 2
C.) 3
D.) 4
8. What is the sum of the first 3 terms of an arithmetic sequence where the first term a=4 and
the common difference d=3?
A.) 12
B.) 15
C.) 18
D.) 21
9. If the first term of an arithmetic sequence is 2, the last term l is 10, and there are 5 terms,
what is the sum of the sequence?
A.) 20
B.) 25
C.) 30
D.) 35
10. In the sequence 1, 3, 5, 7, 9, what is the sum of the first 5 terms?
A.) 20
B.) 25
C.) 30
D.) 35
11. In the sequence 3, 7, 11, 15, ..., which term will come after 15?
A.) 17
B.) 18
C.) 19
D.) 20
12. If a pattern starts with 3 and increases by 4 each time, what are the next two terms after 15?
A.) 19, 22
B.) 20, 24
C.) 18, 23
D.) 17, 21
13. In the sequence 5, 10, 15, 20, ..., what is the 6th term?
A.) 25
B.) 30
C.) 35
D.) 40
14. Find the arithmetic mean between 12 and 24.
A.) 14
B.) 16
C.) 18
D.) 20
15. In an arithmetic sequence, if a=6, d=4, and n=5, what is the sum of the first 5 terms?
A.) 50
B.) 55
C.) 60
D.) 65
16. The first term of an arithmetic sequence is 10, the common difference is 6, and there are 4
terms. What is the sum of the sequence?
A.) 40
B.) 48
C.) 64
D.) 80
17. Which of these patterns has a rule of "add 3"?
A.) 3, 6, 12, 24, ...
B.) 1, 4, 7, 10, ...
C.) 2, 5, 8, 11, ...
D.) 4, 8, 12, 16, ...
18. In the sequence 5, 9, 13, 17, ..., What is the 7th term?
A.) 29
B.) 31
C.) 33
D.) 35
19. In an arithmetic sequence, if the 3rd term is 10 and the common difference is 3, what is the
8th term?
A.) 22
B.) 24
C.) 25
D.) 28
20. Given an arithmetic sequence with a=3, d=2, and n=10, find the sum of the first 10 terms.
A.) 75
B.) 80
C.) 85
D.) 90
ANSWER KEY
1. B
2. D
3. B
4. A
5. B
6. C
7. C
8. D
9. B
10. B
11. D
12. A
13. B
14. C
15. C
16. C
17. C
18. A
19. D
20. B
TEST 2: Mixed Test Type
I. SHORT TYPE TEST/ COMPLETION TEST
Instructions: Fill in the Blank, Write Your Answers Clearly: In the space provided, write your
answers legibly. Make sure that your handwriting is clear to avoid any misinterpretation. 3
points each item.
Time Allotted: 15 minutes
1. An arithmetic sequence is an ordered set of numbers that have a ______________
between each consecutive term.
2. ________ is a repeated arrangement of numbers, shapes, colors, or other elements
that follow a rule.
3. ________ is the sum of all numbers divided by the count of all numbers in the series.
4. An arrangement of two or more things in a successive order is called a _________.
5. A set of numbers where the difference between two successive terms is constant, is
called __________.
II. TRUE OR FALSE TYPE TEST
Instructions: Write T if the statement is TRUE and F if the given statement is FALSE. 3 points
each item.
Time Allotted: 10 minutes
1. Arithmetic sequences usually increase by the same amount from one term to the next.
2. To find the sum of an arithmetic sequence, you need to know the first term, the last term,
and the number of terms.
3. In an arithmetic sequence, the nth term can be found using the formula an=a1+(n−1)d,
where a1 is the first term and d is the common difference.
4. If the common difference in an arithmetic sequence is zero, the sequence consists of the
same number repeated.
5. The average of the first and last terms of an arithmetic sequence is equal to the common
difference.
III. MATCHING TYPE TEST
Instructions: Match the sequence written in general form in Column A with the corresponding
first three terms in Column B. Write the letter of the correct answer on the spa provided before
each number. 3 points each item.
Time Allotted: 10 minutes
COLUMN A
_____ 1. an = n - 20
_____ 2. an = - n- 6
_____ 3. an = 2n²
_____ 4. an = 10n + 1
_____ 5. an = 5 - 2n
COLUMN B
A. ( 3, 1, -1)
B. ( -19, -18, -17 )
C. ( 11, 21, 31 )
D. ( -7, -8, -9 )
E. (-7, 11, 15 )
F. ( 2, 8, 18 )
IV. ESSAY TEST
Instructions: Answer the following questions clearly and concisely. Points may vary based on
the given rubric. (10 points each)
Time Allotted: 25 minutes
1. Explain how to find the nth term of an arithmetic sequence. Include an example to
illustrate the process.
2. Describe the process of finding the sum of the first n terms in an arithmetic sequence.
Explain why the formula works and provide an example.
SCORING RUBRICS
CRITERIA
Content and
Development
UNSATISFACTORY
(5 PTS)
-
Organization
and
Structure
-
-
Grammar,
Punctuation
& Spelling
-
Content is
incomplete
Major points
are unclear
or missing.
Lacks
relevant
examples or
explanations.
Lacks
organization;
response is
hard to
follow.
Ideas are
disjointed or
lacks
transition.
Contains
numerous
grammatical,
punctuation,
and spelling
errors that
hinder
understandin
g.
NEEDS
IMPROVEMENT (10
PTS)
- Content is
somewhat
complete but
lacks clarity on
key concepts.
- Some points are
missing or
underdeveloped
.
- Example is
slightly unclear.
-
-
-
SATISFACTORY (15
PTS)
-
-
-
Organization is
weak, causing
some difficulty
in following the
response.
Transition
between ideas
are limited.
-
Contains some
grammatical,
punctuation,
and spelling
errors that
somewhat affect
clarity.
-
-
OUTSTANDING (20
PTS)
Content is
mostly
complete and
clear.
Key concepts
are addressed
with some
detail.
Includes a
relevant
example or
explanation.
-
Organized in a
mostly logical
way.
Transitions aid
readability,
though may
be minor
issues.
-
Minor
grammatical,
punctuation,
and spelling
errors that do
not affect
overall clarity.
-
-
-
-
Content is
thorough and
welldeveloped.
Key concepts
are clearly
explained with
detailed
support.
Example
accurately
illustrates the
response.
Wellorganized with
a logical flow.
Transitions
effectively
enhance
clarity and
readability.
Free from
grammatical,
punctuation,
and spelling
errors,
contributing to
a polished
response.
V. PROBLEM SOLVING TEST
Time Allotted: 20 minutes
Directions: Read and understand each problem carefully and find the correct answer. Show
your neat and complete solutions. (10 points each)
Your score will be graded as follows:
0 = for answers with wrong solution/no solution
1 = for answers showing one of the exact steps
3 = for correct answers with partial solutions
5 = for correct answers with complete solutions
1. The auditorium at Penndale High School has 25 seats in the first row, 29 seats in the
second row, 33 seats in the third row, and so on in an arithmetic sequence. Determine
the number of seats in each of the next three rows.
2. On day one, 6 students registered for a summer camp in Lansdale. There were 13
students who enrolled on day two, 20 students on day three, and so on in an arithmetic
sequence. How many students registered on the 8th day?
ANSWER KEY
TEST I: SHORT ANSWER/COMPLETION TEST
1.
2.
3.
4.
5.
Common difference
Pattern
Arithmetic mean
Sequence
Arithmetic sequence
TEST II. TRUE OR FALSE TYPE TEST
1.
2.
3.
4.
5.
False
True
True
True
False
III. MATCHING TYPE TEST
1.
2.
3.
4.
5.
B
D
F
C
A
IV. ESSAY TEST
(Answers may vary)
V. PROBLEM SOLVING TEST
1. 37, 41, 45
2. 55