
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 model airplane group is conducting an airplane model experiment, in which the model airplane ascends 15 meters in height during the first minute.
(1) If, through the power control system, the model airplane ascends by 2 meters less for every subsequent minute than it did in the previous minute until reaching maximum altitude, then maintaining flight, what is the maximum height the model airplane will ascend to?
(2) If, through the power control system, the height by which the model airplane ascends each minute is 80% of the height it ascended in the previous minute, can this model airplane's maximum ascending height exceed 75 meters? Please explain your reasoning.

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