MathNet 2017-part-05 — 176 problems (EN–VI) Question 176

Does there exist an integer $n \geq 3$ and an arithmetic sequence $a_{0}, a_{1}, \ldots, a_{n}$ such that the polynomial $a_{n} x^{n}+\ldots+a_{1} x+a_{0}$ has $n$ roots which also form an arithmetic sequence?