Question

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.

Answer 1

D

Explanation:

Answer 2

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

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.