Question

For the following exercise determine whether the graph shown represents an arithmetic sequence

Answer 1

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.

Step-by-step explanation:

Let us check the common difference.

The first difference is,

`\begin{gathered} d_1=a_2-a_1 \\ =2.25-1.5 \\ =0.75 \end{gathered}`

The second difference is,

`\begin{gathered} d_2=a_3-a_2 \\ =3.375-2.25 \\ =1.125 \end{gathered}`

Since,

`d_1\\e d_2`

Therefore, it does not represent an arithmetic sequence.

Final answer:

The graph shown does not represent an arithmetic sequence.