Concept explainers
Determine whether the sequence is an arithmetic sequence.
Answer to Problem 10PPS
No, this is not an arithmetic sequence
Explanation of Solution
Given:
The sequence:
Concept Used:
An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one and the result is always the same or constant then it is an arithmetic sequence.
In an Arithmetic Sequence the difference between one term and the next is a constant.
Calculation:
The sequence:
First term = − 10 and the second term is − 7
Difference between second term and first term is
Second term = − 7 and the third term is − 4
Difference between third term and second term is
Third term = − 4 and the fourth term is 1
Difference between 4th term and 3rd term is
This is not an arithmetic sequence. The difference between terms is not constant.
Thus, no, this is not an arithmetic sequence.
Chapter 3 Solutions
Algebra 1
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