
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
A given arithmetic sequence consists of all real numbers, with a common difference of 4. The square of its middle term and the sum of the remaining terms do not exceed 100. Find the maximum number of terms in this sequence.

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