
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
30 students are lined up in order of height from shortest to tallest, with the height difference between any two adjacent students being equal. The sum of the heights of the first 10 students is 12.5 meters, and the sum of the heights of the first 20 students is 26.5 meters. What is the sum of the heights of these 30 students in meters?

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