
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
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  $\tfrac{1}{d_n}$ . Find the least  $n$  such that  $\tfrac{1}{E_n}
> 2017$ .

Present the answer in LaTex format: \boxed{Your answer}
user