Concept explainers
a.
To determine whether the sequence is an arithmetic sequence or not.
a.
Answer to Problem 35HP
Yes
Explanation of Solution
Given:
Sequence:
Concept used:
An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
Calculation:
Difference between the 2nd term and 1st term is:
Difference between the 3rd term and 2nd term is:
So, the difference between every two-consecutive number in the sequence is
Therefore, the next three terms will be:
Conclusion:
Therefore, the given sequence:
And the next three terms of the sequence are:
b.
To determine whether the sequence is an arithmetic sequence or not.
b.
Answer to Problem 35HP
No
Explanation of Solution
Given:
Sequence:
Concept used:
An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
Calculation:
The difference between the 2nd term and 1st term is:
The difference between the 3rd term and 2nd term is:
So, the difference between every two-consecutive number in the sequence is different.
Conclusion:
Therefore, the given sequence:
Chapter 3 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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