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Quadratic Tables and Sequences
By Rebecca Entrekin
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Last updated over 3 years ago
12 questions
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Question 1
1.
Determine an explicit function that can be used to find the nth term in this table
Question 2
2.
Determine an explicit function that can be used to find the nth term in this table
Question 3
3.
Determine an explicit function that can be used to find the nth term in this sequence:
3, 12, 27, 48, 75, ...
Question 4
4.
Determine an explicit function that can be used to find the nth term in this sequence:
3, 9, 19, 33, 51, ...
Question 5
5.
Challenge Question!
Create your own sequence that represents a quadratic relationship between two quantities and write its explicit function
PART 2:
Question 6
6.
The points (0, 3), (1, 4), (2, 7), and (3, 12) are on the graph of a function.
Write an explicit function that can be used to represent the function.
Question 7
7.
Consider the sequence below:
-9, -6, -1, 6, 15 …
What explicit expression can be used to find the n
th
term of this sequence?
Question 8
8.
The table below shows a relationship between values of x and y. Write an equation that describes the relationship for the values in the table.
Question 9
9.
The points (0, 0), (1, 4), (2, 16), and (3, 36) are on the graph of a function.
Write an explicit function that can be used to represent the function.
Question 10
10.
Consider the sequence below:
-2, 1, 6, 13, 22, …
What explicit expression can be used to find the nth term of this sequence?
Question 11
11.
Consider the sequence below:
8, 20, 40, 68, 104 …
What explicit expression can be used to find the nth term of this sequence?
Question 12
12.
Consider the sequence below:
8, 20, 40, 68, 104 …
What is the 10th term in this sequence?
If you have completed all of the questions and there is still time in class, try this activity on Desmos.