
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
An arithmetic sequence contains 100 terms, and each term is at least 20 but no more than 80. The sum of all terms is 5000. Let M be the least possible value of the 25th term, and let N be the greatest possible value of the 25th term. Find the value of N - M.

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