
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
Arrange the sequence $\{2n+1\}$ in groups such that the first group contains one number, the second group two numbers, the third group three numbers, the fourth group four numbers, and the fifth group begins the cycle again with one number, and so on. For example: $(3)$, $(5,7)$, $(9,11,13)$, $(15,17,19,21)$, ..., what is the sum of the numbers in the 104th group?

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