Question

Which diagram best represents the following expression?
2(n - 1) + 1

Answer 1

Step-by-step explanation:

Here we have the following expression:

`2(n - 1) + 1`

So we can rewrite this as follows:

`a_(n)=2(n - 1) + 1`

So this is an arithmetic series whose general form is given by:

`a_(n) = a + d(n-1)`

Where:

`a: \text{is the first term} \\ \\ d: \text{is the difference between the terms, also called`

So, for some n-values we have:

`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`

From this information, the diagram that best represents the given expression is shown below.