
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
If the sum of the first 15 terms and the sum of the first 85 terms of an arithmetic progression (AP) are 45 and 255, respectively, then find the sum of the first 100 terms.

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