Question

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

Answer 1

The right answer is

D...

I just took the test Hope this helps :)

Answer 2

Answer:

Option 4 -The recursive formula is $a_n=a_{n-1}-8; a_1=38$

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, $a_4=14$  

Third term , $a_3=14+8=22$

Second term , $a_2=22+8=30$

First term , $a_1=30+8=38$

So, $a_1=38$ and the recursive formula created is

$a_n=a_{n-1}-8; a_1=38$

Therefore, Option 4 is correct.

The recursive formula is $a_n=a_{n-1}-8; a_1=38$