Luke earned $36,000 during the first year of his job at putt-putt kingdom. after each year he received a 10% raise. find his total earnings during the first five years on the job.

In order to solve this problem, you need to use a geometric series:

where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5

Therefore,
 
= 219783.60 $

Luke's total earnings in five years are 219783.60 $.