Concept explainers
(a)
Common difference of arithmetic sequence.
(a)
Answer to Problem 49PPE
Common difference of the sequence is 5.
Explanation of Solution
Given data:
Arithmetic sequence:
Formula used:
Calculation:
Common difference of the sequence :
Conclusion:
Common difference of the sequence is 5.
(b)
Equation of arithmetic sequence.
(b)
Answer to Problem 49PPE
Equation of the graph is
Explanation of Solution
Given data:
Arithmetic sequence:
Formula used:
Calculation:
x= term number and y=corresponding term
The equation will be:
x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
y | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 |
The graph of function is:
Conclusion:
Equation of the graph is
(c)
Slope of the equation of arithmetic sequence.
(c)
Answer to Problem 49PPE
The slope of the equation is equal to the common difference of the sequence.
Explanation of Solution
Given data:
Arithmetic sequence:
Formula used:
Calculation:
The slope of the equation is equal to the common difference of the sequence.
Conclusion:
The slope of the equation is equal to the common difference of the sequence.
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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