
Concept explainers
Find whether the sequence is an arithmetic sequence.

Answer to Problem 2CYU
Yes, this sequence is arithmetic
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 = 4 and the second term is 9
Difference between second term and first term is
Second term = 9 and the third term is 14
Difference between third term and second term is
Third term = 14 and the fourth term is 19
Difference between 4th term and 3rd term is
The difference between terms in the sequence is constant. Therefore this sequence is arithmetic.
Thus, yes, this sequence is arithmetic.
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Algebra 1
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