Respuesta :

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.