Answer:
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.
