Answer
In comparing the 2 jobs, Job B will pay more (by $\$3000$) over the next 5 years.
Work Step by Step
For Job A and B, an arithmetic sequence can be used to model each of the respective situation.
For Job A, with $a_{1} = \$30000$ and $d = \$1200$, the general term is $a_{n} = 30000 + (n - 1)(1200)$.
The partial sums of Job A over the next 5 years will be $\sum\limits_{n=1}^5 a_{n} = \sum\limits_{n=1}^5 30000 + (n - 1)(1200) = 30000 + 31200 + 32400 + 33600 + 34800 = \$162000$
While for Job B, with $a_{1} = \$28000$ and $d = \$2500$, the general term is $a_{n} = 28000 + (n - 1)(2500)$.
The partial sums of Job B over the next 5 years will be $\sum\limits_{n=1}^5 a_{n} = \sum\limits_{n=1}^5 28000 + (n - 1)(2500) = 28000 + 30500 + 33000 + 35500 + 38000 = \$165000$
In comparing the 2 jobs, Job B will pay more (by $\$3000$) over the next 5 years.