Concept explainers
(a)
To calculate: To find what value was added to each term of the sequence
(a)
Answer to Problem 39HP
Explanation of Solution
Given information: Sequence is
Formula Used:
Sequence is an arithmetic sequence when the difference between the two terms is constant.
Nth term in arithmetic sequence is given as
Where,
Calculation:
Sequence is given as follows:
Let us find the difference between each term
Thus,
Conclusion:
Hence,
(b)
To calculate: To find and explain if the set of ordered pairs (term number, term) is a function
(b)
Answer to Problem 39HP
The set of ordered pair (term number, term) is a function
Explanation of Solution
Given information: Sequence is
Formula Used:
According to function rule, no input can have more than one output.
The set ordered pairs is referred to as function when no two ordered pairs have the same first coordinate with different second coordinate
Calculation:
Table is completed as follows:
Term Number | Term |
1 | 36 |
2 | 33 |
3 | 30 |
4 | 27 |
5 | 24 |
6 | 21 |
7 | 18 |
From above table, Set of ordered pairs (term number, term) is
Here, no two ordered pairs have same first coordinate.
Thus, the set of ordered pairs is a function
Conclusion:
Hence, the set of ordered pairs is a function
(c)
To calculate: To graph the set of ordered pairs
(c)
Answer to Problem 39HP
The set of ordered pair (term number, term) is a function
Explanation of Solution
Given information: Sequence is
Formula Used:
According to function rule, no input can have more than one output.
The set ordered pairs is referred to as function when no two ordered pairs have the same first coordinate with different second coordinate
Calculation:
Table is completed as follows:
Term Number | Term |
1 | 36 |
2 | 33 |
3 | 30 |
4 | 27 |
5 | 24 |
6 | 21 |
7 | 18 |
From above table, Set of ordered pairs (term number, term) is
Plotting the points in graph,
With every increase in term number, term is decreasing by
Conclusion:
Hence, the graph is sketched
Chapter 8 Solutions
Pre-Algebra, Student Edition
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