Answer:
Step-by-step explanation:
We have already been given the the formula, so all we need to do is plug in the values 1, 2, 3, and 4 into it.
Let's start with 1
[tex]a_{1} =42-6(1-1)[/tex]
We can just use order of operations to simplify this down.
[tex]a_{1} =42-6(0)[/tex]
[tex]a_{1} =42[/tex]
So, the first term is 42. Now let's plug in 2.
[tex]a_{2} =42-6(2-1)[/tex]
[tex]a_{2} =42-6(1)[/tex]
[tex]a_{2} =42-6[/tex]
[tex]a_{2} =36[/tex]
The second term is 36. Now, let's do 3.
[tex]a_{3} =42-6(3-1)[/tex]
[tex]a_{3} =42-6(2)[/tex]
[tex]a_{3} =42-12[/tex]
[tex]a_{3} =30[/tex]
The third term is 30. Time to plug in 4.
[tex]a_{4} =42-6(4-1)[/tex]
[tex]a_{4} =42-6(3)[/tex]
[tex]a_{4} =42-18[/tex]
[tex]a_{4} =24[/tex]
So, the first four terms in order are 42, 36, 30, and 24