
Concept explainers
To find whether the graphs of arithmetic sequences and linear functions are similar or not.

Answer to Problem 36HP
The graph of an arithmetic function is discrete.
The graph of a linear function is continuous.
Explanation of Solution
Given:
Graphs of an arithmetic sequence and a linear function
Generally, an arithmetic sequence can be represented by a linear function.
Also, the graph of an arithmetic sequence lies on the graph of the same linear function.
But, they are different in the terms of domain because the domain of an arithmetic sequence is the set of natural numbers, while the domain of a linear function is the set of the real numbers.
Therefore, the graph of an arithmetic function is discrete, while the graph of a linear function is continuous.
Conclusion:
Therefore, the graphs of arithmetic sequences and linear functions are not similar.
Chapter 3 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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