
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 company purchased a piece of equipment M at the beginning of the first year for 1.2 million yuan. The value of M decreases annually during its use. From the second to the sixth year, the value of M at the beginning of each year decreases by 1 million yuan compared to the beginning of the previous year; starting from the seventh year, the value of M at the beginning of each year is 75% of the value at the beginning of the previous year. The value of M at the beginning of the $n$th year, $a_n=$ ______.

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