Explanation:
Here we have the following expression:
[tex]2(n - 1) + 1[/tex]
So we can rewrite this as follows:
[tex]a_{n}=2(n - 1) + 1[/tex]
So this is an arithmetic series whose general form is given by:
[tex]a_{n} = a + d(n-1)[/tex]
Where:
[tex]a: \text{is the first term} \\ \\ d: \text{is the difference between the terms, also called "common difference"}[/tex]
So, for some n-values we have:
[tex]a=1 \\ \\ a_{2}=2(2-1)+1=3 \\ \\ a_{3}=2(3-1)+1=5 \\ \\ a_{4}=2(4-1)+1=7 \\ \\ a_{5}=2(5-1)+1=9[/tex]
From this information, the diagram that best represents the given expression is shown below.
