
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
Write down the first 15 consecutive odd numbers in a row. Divide the numbers in this row into groups so that the first group contains one number, the second contains the next two numbers, the third contains three, and so on. Find the sum of the numbers in each group and identify the common pattern for all groups.

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