Answer
See below
Work Step by Step
The sequence's first term is $a_1=5000$
There is an additional $\$100$ for every home run; thus the second term will be $a_2=a_1+500$
$a_3=a_2+500\\a_4=a_3+500\\...$
Hence, the general rule is $a_n=a_1+500(n-1)$
It makes more sense to represent this situation using a sequence.
