10
QuizMultiple Choice

Systems and Sequences — Test

Question 10 • Algebra II

Which of the following is an arithmetic sequence?

Answer
A
negative 7 over 11 comma 6 over 11 comma negative 5 over 11 comma 4 over 11 comma dot dot dot
B
negative 3 fourths comma negative 3 fifths comma negative 3 sixths comma negative 3 sevenths comma dot dot dot
C
3 fourths comma negative 3 halves comma 3 comma negative 6 comma dot dot dot
D
1 half comma 2 comma 7 halves comma 5 comma dot dot dot

Explanation

An arithmetic sequence has the same difference between every pair of consecutive terms. In choice D, the differences are 2 − 1/2 = 3/2, 7/2 − 2 = 3/2, and 5 − 7/2 = 3/2. Since the difference is constant, the sequence 1/2, 2, 7/2, 5 is arithmetic.

AI-written and checked against the verified answer.

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