Recursive formula expresses a term in a sequence in terms of the previous term(s).
Given that Pat earns $25,000 the first year and receives a raise of $1000 each year. This means that the first term is $25,000 and each successive term is obtained by adding $1,000 to the previous term, i.e. [tex]A_n=A_{n-1}+1,000[/tex]
Therefore, the rule that best represents the equivalent recursive formula is:
[tex]A_n=A_{n-1}+1,000;\ \ \ A_1=25,000[/tex]
