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Which is true regarding the sequence below?

5,2,-3,-10,-19

A. The sequence is arithmetic because the common difference is -1.
B. The sequence is arithmetic because the common difference is 1.
C. The sequence is not arithmetic because there is no common difference. The differences are -3,-5,-7 and-9.
D. The sequence is not arithmetic because there is no common difference. The differences are -1/3,-1/5,-1/7 and -1/9

Respuesta :

bcalle
It is not an arithmetic sequence because the difference between each term is not the same.
5 - 3 = 2
2 - 5 = -3
-3 - 7 = -10
-10 - 9 = -19
The differences are: -3, -5, -7, -9
The answer is LETTER C

Answer:

Option C is correct.The sequence is not arithmetic because there is no common difference. The differences are -3,-5,-7 and-9.

Step-by-step explanation:

We have given the sequence 5,2,-3,-10,-19

Common difference of arithmetic sequence is [tex]d=a_2-a_1[/tex]

we can see the difference between all the terms are d=2-5=-3  here [tex]a_2=2,a_1=5[/tex]

[tex]d=-3-2=-5[/tex]  here [tex]a_2=-3,a_1=2[/tex]

[tex]d=-10-(-3)=-7[/tex] here [tex]a_2=-10,a_1=-3[/tex]

[tex]d=-19-(-10)=-9[/tex]  here [tex]a_2=-19,a_1=-10[/tex]

Therefore, this is not an arithmetic  because there is no common difference.Differences are -3,-5,-7 and-9.

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