
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
Mica wrote a list of numbers using the following procedure. The first number is  $1$ , and then, at each step, he wrote the result of adding the previous number plus  $3$ . The first numbers on Mica's list are   $$ 1, 4, 7, 10, 13, 16,\dots. $$   Next, Facu underlined all the numbers in Mica's list that are greater than  $10$  and less than  $100000,$  and that have all their digits the same. What are the numbers that Facu underlined?

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