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QuizMultiple Choice

Arithmetic Sequences — Quiz

Question 1 • Algebra II

Which is true regarding the given sequence? 5 comma 2 comma negative 3 comma negative 10 comma negative 19

Answer
A
The sequence is not arithmetic because there is no common difference. The differences are negative 1 third comma negative 1 fifth comma negative 1 seventh and negative 1 ninth .
B
The sequence is arithmetic because the common difference is 1 .
C
The sequence is arithmetic because the common difference is negative 1 .
D
The sequence is not arithmetic because there is no common difference. The differences are negative 3 comma negative 5 comma negative 7 and negative 9 .

Explanation

Subtract each term from the term that follows it: 2 − 5 = −3, −3 − 2 = −5, −10 − (−3) = −7, and −19 − (−10) = −9. Since these differences are not the same, the sequence is not arithmetic. Choice D correctly gives the differences −3, −5, −7, and −9.

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