
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
Let $\{a_n\}$ be a geometric sequence with a common ratio $q$. Then "q > 1" is the condition for "$\{a_n\}$ is an increasing sequence" (Fill in the blank with "sufficient but not necessary condition", "necessary but not sufficient condition", "necessary and sufficient condition", "neither sufficient nor necessary condition").

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