Concept explainers
(a)
Write a function to represent the arithmetic sequence.
(a)
Answer to Problem 22PPS
The function for this arithmetic sequence is
Explanation of Solution
Given: The arithmetic sequence is
Concept Used:
The arithmetic sequence is
First find the common difference and then find the nth terms of the sequence.
Formula for nth term is the function of the sequence.
Calculation:
The arithmetic sequence is
Find the common difference:
The sequence is increasing, so the common difference is positive 2.
Write the equation for the nth term of an arithmetic sequence using the first term 2 and common difference 2.
Formula for nth term is always defined as the function.
The function for this arithmetic sequence is
Thus, the function for this arithmetic sequence is
(b)
Graph the function and determine the domain.
(b)
Answer to Problem 22PPS
The domain is {1, 2, 3, 4, ......}
Explanation of Solution
Given: The arithmetic sequence is
Concept Used:
The points on the graph are represented by
Calculation:
The points to graph are represented by
The domain of the function is the number of hours spent at the park.
So, the domain is {1, 2, 3, 4, ......}
Thus, the domain is {1, 2, 3, 4, ......}
Chapter 3 Solutions
Algebra 1
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