Answer:
The recursive formula is;
[tex]a_n=a_{n-1}-7[/tex]
Explanation:
We want to find the recursive formula for the given sequence;
The recursive can be in the form;
[tex]a_n=a_{n-1}+d[/tex]
where d is the common difference.
Let us find the common difference for the given sequence;
[tex]\begin{gathered} d=25-32 \\ d=-7 \end{gathered}[/tex]
So, the recursive formula can be derived by substituting the value of d into the equation above;
[tex]a_n=a_{n-1}-7[/tex]
Therefore, the recursive formula is;
[tex]a_n=a_{n-1}-7[/tex]
