
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]


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An auditorium with 20 rows of seats starts with 10 seats in the first row. Each successive row increases the number of seats such that the increment itself forms an arithmetic progression, with the first row increasing by 1 seat, the second row increasing by 2 seats more than the first, and so on. Find the maximum number of students that can be accommodated for an exam.

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