
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
There is a sequence of odd numbers: $1$, $3$, $5$, $7$, $9$, $\ldots$. The sequence is divided into groups as follows: the first group contains one number $\{1\}$, the second group contains two numbers $\{3,5\}$; the third group contains three numbers $\{7,9,11\}$; $\ldots$. Try to observe the relationship between the sum of the numbers in each group and the group number $n$.

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