Answer:
Step-by-step explanation:
Each year, he gets a 3 percent raise. This means that his salary between consecutive years increasing by a common ratio. The formula for determining the sum of the first n terms, Sn of a geometric sequence is expressed as
Sn = (ar^n - 1)/(r - 1)
Where
n represents the number of term in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
a = 35000
r = 1 + 3/100 = 1 + 0.03 = 1.03
Therefore, the expression that gives the total amount Alex has earned in his first n years of his career is
Sn = [35000(1.03)^n - 1]/(1.03 - 1)
Sn = [35000(1.03)^n - 1]/0.03
