Given:
The first term is 1.5.
The second term is 2.25.
The third term is 3.375.
And so on.
To determine:
The graph represents an arithmetic sequence or not.
Explanation:
Let us check the common difference.
The first difference is,
[tex]\begin{gathered} d_1=a_2-a_1 \\ =2.25-1.5 \\ =0.75 \end{gathered}[/tex]
The second difference is,
[tex]\begin{gathered} d_2=a_3-a_2 \\ =3.375-2.25 \\ =1.125 \end{gathered}[/tex]
Since,
[tex]d_1\ne d_2[/tex]
Therefore, it does not represent an arithmetic sequence.
Final answer:
The graph shown does not represent an arithmetic sequence.
