
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
Fifteen girls are standing around a circle. A ball is thrown clockwise around the circle. The first girl, Becca, starts with the ball, skips the next four girls and throws to the sixth girl. After every three throws, the number of girls skipped increases by one (so after the third throw, the thrower skips five girls, and after the sixth throw, the thrower skips six girls, and so forth). If this pattern continues, including Becca's initial throw, how many total throws are necessary for the ball to return to Becca?

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