
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
Observe the following sets of numbers: (3, 4, 5), (5, 12, 13), (7, 24, 25), (9, 40, 41), (11, 60, 61)…, it is found that: 4 = (3<sup>2</sup> - 1) ÷ 2, 12 = (5<sup>2</sup> - 1) ÷ 2, 24 = (7<sup>2</sup> - 1) ÷ 2…, if the first number of a set is denoted as k, then this set of numbers is (k,     ,     ).

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