QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
Which of the following is an arithmetic sequence?
A. $-\frac{7}{11}, \frac{6}{11},-\frac{2}{11}, \frac{4}{11}$
B. $-\frac{3}{4},-\frac{3}{5},-\frac{3}{6},-\frac{3}{7}$
C. $\frac{1}{2}, 2, \frac{7}{2}, 5$
D. $\frac{3}{4},-\frac{3}{2}, 3,- 6$
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Answer
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Step 1: Identify the common difference in each sequence.
3 - \left(-\frac{3}{2}\right) = \frac{9}{2}
The common difference is the difference between any two consecutive terms in the sequence. If the sequence is an arithmetic sequence, then the common difference should be constant. A. The differences between consecutive terms are: The common difference is not constant, so this is not an arithmetic sequence. B. The differences between consecutive terms are: The common difference is not constant, so this is not an arithmetic sequence. C. The differences between consecutive terms are: The common difference is not constant, so this is not an arithmetic sequence. D. The differences between consecutive terms are: The common difference is not constant, so this is not an arithmetic sequence. Since none of the sequences have a constant common difference, there is no arithmetic sequence in the given options. Therefore, the answer is none of the above.
Final Answer
3 - \left(-\frac{3}{2}\right) = \frac{9}{2}
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