Question

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

Answer 1

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:

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

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.