Concept explainers
To determine whether the below sequence is arithmetic, geometric, or neither:
Answer to Problem 1MCQ
The given sequence is not arithmetic and geometric.
Explanation of Solution
Given:
Concept Used:
A sequence is arithmetic if difference between it’s consecutive terms is same. An arithmetic sequence with first term a and common term d can be written in the form
A sequence is geometric if ratio of it’s consecutive terms is same. A geometric sequence with first term a and common ratio r can be written in the form
Calculation:
In order to determine whether the below sequence is arithmetic, geometric, or neither:
First, check whether this is arithmetic by checking whether it’s consecutive terms has common difference, as
Thus, each consecutive term of the given sequence does not have common difference thus the sequence is not arithmetic.
Now, check whether given sequence is a geometric check if there is a common ratio in it’s consecutive terms, and find ratio, as
Thus, consecutive terms of given sequence doesn’t have common ratio thus the sequence is not geometric.
Thus, the given sequence is not arithmetic and geometric.
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
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