Respuesta :

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]