Question

At her job, pat earns $25,000 the first year and receives a raise of $1000 each year. the explicit formula for the nth term of this sequence is an = 25,000 + (n − 1)1000. which rule best represents the equivalent recursive formula?

Answer 1

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. $A_n=A_{n-1}+1,000$

Therefore, the rule that best represents the equivalent recursive formula is:

$A_n=A_{n-1}+1,000;\ \ \ A_1=25,000$