
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
Consider a hexagonal-shaped center in an array of hexagons, each side of the hexagon being one unit in length. The first ring of hexagons around this center hexagon contains 6 hexagons. The second ring contains 12 hexagons. If this pattern continues, how many hexagons are in the $100^{th}$ ring?

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