Since he will earn $10,000 in the first year
Since he will earn $500 more each year
Then it is an arithmetic sequence
The rule of the arithmetic sequence is
[tex]a_n=a+(n-1)d[/tex]a is the initial amount (10,000)
d is the constant increasing (500)
n is the time (6)
Substitute the values of a, d, and n in the explicit formula above to find how much he will earn in the 6th year
[tex]\begin{gathered} a_6=10,000+(6-1)500 \\ \\ a_6=10,000+(5)500 \\ \\ a_6=10,000+2500 \\ \\ a_6=12,500 \end{gathered}[/tex]The answer is $12,500
The answer is the 2nd choice
