PUMaC 2017 Combinatrics A Problem 6

Jackson begins at 1 on the number line. At each step, he remains in place with probability 85 \% and increases his position on the number line by 1 with probability 15 \%. Let d_{n} be his position on the number line after n steps, and let E_{n} be the expected value of \frac{1}{d_{n}}. Find the least n such that \frac{1}{E_{n}}>2017.