
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
Eight students count from 1 to 500 and skip numbers according to a methodological pattern. Alice starts by saying all the numbers, skipping every number that is the middle in a sequence of five numbers. Thus, Alice skips numbers like 3, 8, 13, ..., which are calculated as \(5n - 2\) for \(n = 1, 2, 3, \ldots\). Barbara, Candice, Debbie, Eliza, Fatima, and George follow but each also skips the middle number in each consecutive group of three numbers that come to them. Heather says the only number that no one else counts. Which number does Heather count?
A) 205
B) 209
C) 213
D) 217

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