
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 \(1975 \ldots\), each digit, starting from the fifth position, is equal to the last digit of the sum of the previous four digits. Will the following patterns be encountered in this sequence?

a) The consecutive digits 1234;  
b) The sequence of four digits 1975 occur a second time?

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