24
QuizMultiple Choice

Systems and Sequences — Test

Question 24 • Algebra II

Which of the following is true regarding the given sequence? 7 over 12 comma 1 sixth comma negative 1 fourth comma negative 2 thirds

Answer
A
The sequence is not arithmetic because there is no common difference between the values of n .
B
The sequence is arithmetic because there is a common difference of 1 .
C
The sequence is not arithmetic because there is no common difference between the values of A sub n .
D
The sequence is arithmetic because there is a common difference of negative 5 over 12 .

Explanation

Find the difference between each pair of consecutive terms: 1/6 − 7/12 = −5/12, −1/4 − 1/6 = −5/12, and −2/3 − (−1/4) = −5/12. Since every difference between consecutive terms is the same, the sequence is arithmetic with common difference −5/12. This matches choice B.

AI-written and checked against the verified answer.

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