
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
Divide the sequence {2n+1} into groups such that the first group contains one number, the second group two numbers, the third group three numbers, the fourth group four numbers, the fifth group one number, and so on in a cycle, then determine the sum of the numbers in the 60th group.

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