Question

Which is true regarding the sequence below?

Answer 1

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 $d=a_2-a_1$

we can see the difference between all the terms are d=2-5=-3  here $a_2=2,a_1=5$

$d=-3-2=-5$  here $a_2=-3,a_1=2$

$d=-10-(-3)=-7$ here $a_2=-10,a_1=-3$

$d=-19-(-10)=-9$  here $a_2=-19,a_1=-10$

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

Answer 2

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