Question

Jason just got tired for a new job and will make $80,000 in his first year. Jason was

told that he can expect to get raises of $5,000 every year going forward. How much
money in salary would Jason make in his 23rd year working at this job?

Answer 1

$110,080 is the answer

Answer 2

$110,080

Explanation:

This is an arithmetic sequence because each new term is obtained by adding $5000 to the preivous term.

The general formula for such an arithmetic series is

a(n) = $80,000 + ($5,000)(n - 1)

and so in his 23rd year Jason would make

a(23) = $80,000 + ($5,000)(23 - 1), or

$110,080