The fourth term of a sequence is 14. each term of the sequence is 8 less than the previous term. which recursive formula represents the situation?
a. an=-8an-1; a1=14
b. an=an-1-8; a1=14
c. an=-8an-1; a1=38
d. an=an-1-8; a1=38

Option 4 -The recursive formula is

Step-by-step explanation:

Given : The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term.

To find : Which recursive formula represents the situation?      

Solution :

The fourth term of a sequence is 14.

Each term of the sequence is 8 less than the previous term.  

Since,  

Third term ,

Second term ,

First term ,

So, and the recursive formula created is

Therefore, Option 4 is correct.

The recursive formula is