A company will distribute $\$46,000$ in bonuses to their top ten vendors. The last winner from the list will receive $\$1000$ and the difference in money between sellers on classifieds should be constant. Find the bonus for each worker.
You know how to solve this?
The terms in a ten term arithmetic progression are $a, a+d, a+2d \dots a+9d$. Add them up. What is $a$? What is $d$?