Answer:
[tex]a_{n+1} =a_n+9[/tex]
Step-by-step explanation:
Given is an arithmetic sequence as -16,-7,2,11
We find that
-16+9 =-7
-7+9 =2
2+9 =11
Thus this is an arithmetic sequence with common difference 9
Each term is got by adding 9 to the preceding term
Hence recursive formula is
[tex]a_{n+1} =a_n+9[/tex]