Answer:
[tex]a_n=a_{n-1}-8;\ a_1=38[/tex]
Step-by-step explanation:
The meaning of ...
[tex]a_n=a_{n-1}-8[/tex]
is that each term is 8 less than the one before. That is the description you're trying to match.
The meaning of ...
[tex]a_1=38[/tex]
Is that the first term is 38. Even if you don't know the first term, you do know that it is not 14. The fourth term is 14, as the problem statement tells you. Since each term is smaller than the one before, we know the first term is larger than the fourth term, so is larger than 14.
This information is sufficient to let you choose the correct answer.
[tex]\boxed{a_n=a_{n-1}-8;\ a_1=38}[/tex]
