Which of the following is true regarding the sequence graphed below?
a. the sequence is arithmetic because the terms have a common difference.
b. the sequence is arithmetic because the terms do not have a common difference.
c. the sequence is not arithmetic because the terms have a common difference.
d. the sequence is not arithmetic because the terms do not have a common difference.

Option D. The sequence is not arithmetic because the terms do not have a common difference.

Step-by-step explanation:

We are given  points in a graph as:

             x              y         common difference

             1               1    

             2              4            4-1=3

             3               9           9-4=5

             4              16           16-9=7

             5              25          25-16=9

Clearly from the set of values that are given in the graph we could observe that the function that is formed using these set of values is:

y=f(n)=n² where n=1,2,3,4,5,

Hence, the following sequence is not an arithmetic sequence as the common difference is different.

( Common difference is the difference in the y-value  from it's preceding y-value)

Hence, option: D is the true option.

D. The sequence is not arithmetic because the terms do not have a common difference.

yes

step-by-step explanation: