To Identify: The sequence
The sequence is neither arithmetic nor geometric.
Given information:
The sequence,
Concept used:
Difference between two consecutive terms of an arithmetic sequence is common and the difference is called common difference.
The nth term of an arithmetic sequence is given by
The nth term of a geometric sequence is given by
Calculation:
Observe the difference between the terms.
Since difference between the consecutive terms is not constant, the sequence is not arithmetic.
Observe the ratio between the terms.
Ratio between the terms is not constant. So, the sequence is not geometric.
Therefore, the sequence is neither arithmetic nor geometric.
Conclusion:
The sequence is neither arithmetic nor geometric.
Chapter 9 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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