Answer: [tex]a_n=a_{n-1}-8[/tex]
Step-by-step explanation:
The given sequence: 9, 1, -7, -15, ….
We observe that ,
First term : a=9
Common difference between the terms= -8
The recursive formula for Arithmetic sequence is given by :-
[tex]a_n=a_{n-1}+d[/tex]
Substitute d= -8, we get
Recursive formula for the given sequence: [tex]a_n=a_{n-1}+(-8)[/tex]
[tex]a_n=a_{n-1}-8[/tex]