
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, in which each line segment represents a toothpick forming a triangle. In Stage 1, a triangle has sides of 1 toothpick each. If the pattern continues such that each successive stage involves adding one toothpick to each side of the triangle, how many toothpicks are necessary to create the arrangement for the 25th stage?

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