ZebulunI580585 ZebulunI580585
  • 03-11-2022
  • Mathematics
contestada

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 10 7 4 1 2 D 1 3 9 27 class=

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SaffronA788167 SaffronA788167
  • 03-11-2022

Given:

The sequences in options.

Required:

Which of the sequence is an arithmetic sequence.

Explanation:

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

[tex]d=a_2-a_1,d=a_3-a_2[/tex]

Now, in option c

[tex]\begin{gathered} d=7-10=-3 \\ d=4-7=-3 \\ d=1-4=-3 \end{gathered}[/tex]

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

Answer:

So, option c is correct.

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