
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
In an arithmetic sequence with common difference \( d \), \( a_{1} = 1 \) and \( a_{n} = 81 \). In a geometric sequence with common ratio \( q \), \( b_{1} = 1 \) and \( b_{n} = 81 \). Additionally, it is known that \( \frac{q}{d} = 0.15 \). Determine all such sequences.

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