
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
The original cost of a product is $a$ yuan. In the next $m$ years, it is planned to reduce the cost on average each year compared to the previous year. Write the function that describes how the cost changes over the years.

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