There are ten shirts in your closet, four blue, three green, and three red. You randomly select a different shirt each day. You
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If the series is made up of numbers in an arithmetic progression, you have
where
is the first term and 
is the common difference between terms.
Since the last term in the series is
, you have
Solve the system
and you'll find that the first term is
(with 
).
where
Since the last term in the series is
Solve the system
and you'll find that the first term is
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,
<span>
= 219783.60 $
Luke's total earnings in five years are <span>219783.60 $.</span>
</span>
where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5
Therefore,
<span>
= 219783.60 $
Luke's total earnings in five years are <span>219783.60 $.</span>
</span>