Answers Algebra II Arithmetic Sequences — QuizQuestion 4

4

QuizMultiple Choice

Arithmetic Sequences — Quiz

Question 4 • Algebra II

Which of the following is an arithmetic sequence?

Answer

A

3 point 1 comma 6 point 2 comma 12 point 4 comma 24 point 8 comma 49 point 6 comma dot dot dot

B

negative 20 comma negative 25 comma negative 30 comma negative 35 comma negative 45 comma dot dot dot

C

negative 15 point 6 comma negative 12 point 9 comma negative 10 point 2 comma negative 7 point 5 comma negative 4 point 8 comma dot dot dot

D

7 point 2 comma 3 point 6 comma 1 point 8 comma 0 point 9 comma 0 point 4 5 comma dot dot dot

Explanation

An arithmetic sequence has the same difference between each pair of consecutive terms. In choice C, each term increases by 2.7: −12.9 − (−15.6) = 2.7, and −10.2 − (−12.9) = 2.7; the next differences are also 2.7. The other choices do not have a constant difference.

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