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Which of the following is an arithmetic sequence? A. 1, 0, 1, 0, 1, 0, ...B. 800, 200, 50, ...C. 10, 7, 4, 1, -2, ...D. 1, 3, 9, 27,...

Which of the following is an arithmetic sequence? A. 1, 0, 1, 0, 1, 0, ...B. 800, 200, 50, ...C-example-1
User Pete Klein
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1 Answer

6 votes

Given:

The sequences in options.

Required:

Which of the sequence is an arithmetic sequence.

Step-by-step explanation:

The arithmetic sequence has a common ration, that is equal for every pair of number


d=a_2-a_1,d=a_3-a_2

Now, in option c


\begin{gathered} d=7-10=-3 \\ d=4-7=-3 \\ d=1-4=-3 \end{gathered}

So, common ratio is -3 and hence sequence is arithmetic sequence.

Answer:

So, option c is correct.

User Tlenss
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