
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 first three stages of a pattern are shown below, where each line segment represents a toothpick. If the pattern continues such that at each successive stage, twice as many toothpicks are added as there were in the previous stage plus two additional toothpicks, how many toothpicks are necessary to create the arrangement for the 15th stage? The first stage starts with 5 toothpicks.

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