Question

A new fitness center opened up with 24 clients. Each week they are signing up an average of 5 new members. The business owner wrote the explicit formula for this situation as being A(n) = 24 + (n - 1)(5). Is this correct for this situation? Justify your answer using complete sentences and proper grammar.

Answer 1

This A(n) = (24 members) + 5(members/week)(n-1) is correct, provided that we define the domain as [1, infinity). Thus, if n=1, A(1) = 24 + 5(0) = 24, which is correct.