
Sequence Lesson
Presentation
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Brian Cox
FREE Resource
92 Slides • 24 Questions
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Multiple Choice
Which of the following best describes a sequence?
A random collection of numbers
An ordered list of elements
A single number repeated
A group of unrelated objects
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5
Multiple Choice
Which of the following best describes the pattern in the number of squares in each term of the sequence shown in the first image?
Each term doubles the number of squares from the previous term.
Each term adds 2 squares to the previous term.
Each term subtracts 2 squares from the previous term.
Each term triples the number of squares from the previous term.
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8
Fill in the Blanks
The fixed amount that is being added or subtracted in an arithmetic sequence is known as the
Type answer...
9
Multiple Choice
Which of the following sequences is an arithmetic sequence?
2, 4, 8, 16, ...
5, 10, 15, 20, ...
3, 6, 12, 24, ...
10, 5, 2.5, 1.25, ...
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Multiple Choice
Given the sequence 1, 6, 11, 16, 21, ..., what is the value of the 7th term?
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41
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15
Multiple Choice
Which sequence below has a common difference of 3?
(1)
(2)
(3)
(4)
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Multiple Choice
What is the common difference of a sequence with a 1st term of 6 and the 4th term of 18?
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4
6
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Open Ended
Explain how the common difference in an arithmetic sequence can be interpreted as the slope. Provide an example using the sequence from the image.
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Fill in the Blanks
Fill in the blank: The domain of the function for an arithmetic sequence is the set of positive
Type answer...
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Multiple Choice
Which of the following statements about subscript notation in sequences is correct?
The subscript represents the value of the term.
The subscript represents the position of the term in the sequence.
The subscript is always equal to the term value.
The subscript is used only for odd terms.
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Multiple Select
Select all correct statements about the arithmetic sequence a(n) where a(1) = 5 and d = 3.
The first term is 5.
The common difference is 3.
The sequence decreases by 3 each time.
The fifth term is 17.
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27
Multiple Choice
What is the recursive formula for the arithmetic sequence where a(1) = 5 and the common difference d = 3?
a(n+1) = a(n) + 3
a(n+1) = a(n) - 3
a(n+1) = a(n) + 5
a(n+1) = a(n) + n
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29
Multiple Choice
Which of the following statements correctly describes how to find the next term in the sequence defined by f(1) = 3 and f(n) = f(n-1) + 9?
Add 9 to the previous term
Subtract 9 from the previous term
Multiply the previous term by 9
Divide the previous term by 9
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31
Fill in the Blanks
Fill in the blank: The first term of the sequence defined by f(1) = 17 and f(n+1) = f(n) - 4 is
Type answer...
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34
Multiple Select
Select all sequences that have a common difference of 7.
6, 13, 20, 27, ...
20, 27, 34, 41, ...
2, 9, 16, 23, ...
1, 8, 15, 22, ...
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36
Multiple Choice
In a sequence, the first term is 4 and the common difference is 3. What is the fifth term of this sequence?
-11
-8
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Multiple Choice
Which recursively defined function has a first term equal to 10 and a common difference of 4?
f(1) = 10, f(x) = f(x-1) + 4
f(1) = 4, f(x) = f(x-1) + 10
f(1) = 10, f(x) = 4f(x-1)
f(1) = 4, f(x) = 10f(x-1)
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Open Ended
Explain how the tables in the image demonstrate that both functions are linear. What feature of the tables supports this conclusion?
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42
Multiple Choice
How many times would you add the common difference to reach the 20th term in the arithmetic sequence shown?
9 times
10 times
19 times
20 times
43
Fill in the Blanks
What is the common difference in the arithmetic sequence shown, and how is it used to find the 10th term?
Type answer...
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Open Ended
Why is it helpful to think of arithmetic sequences in the same way as linear functions?
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Multiple Choice
Which part of the equation y - y₁ = m(x - x₁) represents the common difference in an arithmetic sequence?
m
x₁
y₁
x
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Multiple Choice
How many shaded squares will there be in the 4th term of the sequence?
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116
Open Ended
What is a sequence in mathematics, and how are the terms of a sequence defined?
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