Answer:
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
![a_(1) =42-6(1-1)](https://img.qammunity.org/2021/formulas/mathematics/high-school/xp5tpblp5d4vg8bgin02f12mfd7ejn4pu5.png)
We can just use order of operations to simplify this down.
![a_(1) =42-6(0)](https://img.qammunity.org/2021/formulas/mathematics/high-school/swlj4ea6bvs501l095bv09rade3he3yn62.png)
![a_(1) =42](https://img.qammunity.org/2021/formulas/mathematics/high-school/7lodejkv3laaj1qt1tkg4pv695mzat5rtn.png)
So, the first term is 42. Now let's plug in 2.
![a_(2) =42-6(2-1)](https://img.qammunity.org/2021/formulas/mathematics/high-school/kh37i6o59hf2yar3d6tqd75tmcgwqc7gvz.png)
![a_(2) =42-6(1)](https://img.qammunity.org/2021/formulas/mathematics/high-school/14f2x0cn3ebecexjmq99uyiyz50slbjmgj.png)
![a_(2) =42-6](https://img.qammunity.org/2021/formulas/mathematics/high-school/a76o9t3wdr36feigiahzxl3h3sv5fmn8ob.png)
![a_(2) =36](https://img.qammunity.org/2021/formulas/mathematics/high-school/r4xzr9tnrawupztg8ftzpsmpadal03si6c.png)
The second term is 36. Now, let's do 3.
![a_(3) =42-6(3-1)](https://img.qammunity.org/2021/formulas/mathematics/high-school/u5atf2pbcjpmh54ujrnolnr4ro5dixn0u5.png)
![a_(3) =42-6(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/j39nsbkka7ftdxuleorfkyffgsczrv2u72.png)
![a_(3) =42-12](https://img.qammunity.org/2021/formulas/mathematics/high-school/9ubzafhm9a8gv3a32im5ntm0gbv734lrtr.png)
![a_(3) =30](https://img.qammunity.org/2021/formulas/mathematics/high-school/8j64kc5kr97pbzh50ftbb3lpgbwnz1a8wt.png)
The third term is 30. Time to plug in 4.
![a_(4) =42-6(4-1)](https://img.qammunity.org/2021/formulas/mathematics/high-school/n362xq97nzcdc6f83uit97yhv7bf6n8997.png)
![a_(4) =42-6(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/zq79wamdy4x8iejsdgeyuxseah5bkr6tas.png)
![a_(4) =42-18](https://img.qammunity.org/2021/formulas/mathematics/high-school/ykxms9gpqlgk9yf0uhn3sxegy4yzlrbv6k.png)
![a_(4) =24](https://img.qammunity.org/2021/formulas/mathematics/high-school/na9x1pedoszmdtvdu0dbwfnnt2m9r148ak.png)
So, the first four terms in order are 42, 36, 30, and 24