
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 equations, what pattern do you notice:  
3×5=15, and 15=4<sup>2</sup>\-1  
5×7=35, and 35=6<sup>2</sup>\-1  
…  
11×13=143, and 143=12<sup>2</sup>\-1  
…  
Express the pattern you observe with an equation containing only one variable.

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