
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
Consider an arithmetic sequence with the first term and common difference both being non-negative integers, and the number of terms being at least 3, and the sum of the terms is \( 97^2 \). How many such sequences are there?

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