Concept explainers
a.
whether the sequence is arithmetic and if it is ,then find common difference.
a.
Answer to Problem 2P
The sequence is not arithmetic.
Explanation of Solution
Given sequence:
Calculation:
If each term of given sequence after the first term is obtained by adding the previous one by a fixed constant, then the sequence is an arithmetic sequence and the fixed constant is common difference.
Now,
Since difference between two consecutive terms is not fixed.
Therefore, the sequence is not arithmetic.
b
whether the sequence is arithmetic and if it is ,then find common difference..
b
Answer to Problem 2P
The sequence is arithmetic and the common difference is 2.
Explanation of Solution
Given sequence:
Calculation:
If each term of given sequence after the first term is obtained by adding the previous one by a fixed constant, then the sequence is an arithmetic sequence and the fixed constant is common difference.
Now,
Since difference between two consecutive terms is fixed constant and the fixed constant is 2.
Therefore, the sequence is arithmetic and the common difference is 2.
c.
whether the sequence is arithmetic and if it is ,then find common difference.
c.
Answer to Problem 2P
The sequence is arithmetic and the common difference is
Explanation of Solution
Given sequence:
Calculation:
If each term of given sequence after the first term is obtained by adding the previous one by a fixed constant, then the sequence is an arithmetic sequence and the fixed constant is common difference.
Now,
Since difference between two consecutive terms is fixed constant and the fixed constant is
Therefore, the sequence is arithmetic and the common difference is
d
whether the sequence is arithmetic and if it is ,then find common difference.
d
Answer to Problem 2P
The sequence is not arithmetic
Explanation of Solution
Given sequence:
Calculation:
If each term of given sequence after the first term is obtained by adding the previous one by a fixed constant, then the sequence is an arithmetic sequence and the fixed constant is common difference.
Now,
Since difference between two consecutive terms is not fixed.
Therefore, the sequence is not arithmetic.
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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