
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
In the sequence $19752 \cdots$, starting from the 5th digit, each digit is equal to the units digit of the sum of the previous 4 digits. Determine:
1. Will the sequence contain the digit groups 1234 and 3269?
2. Will the digit group 1975 appear again in the sequence?
3. Will the digit group 8197 appear in the sequence?

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