
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:  
1- $$\frac {1}{2} = \frac {1}{2}$$  
1- $$\frac {1}{2} + \frac {1}{3} - \frac {1}{4} = \frac {1}{3} + \frac {1}{4}$$  
1- $$\frac {1}{2} + \frac {1}{3} - \frac {1}{4} + \frac {1}{5} - \frac {1}{6} = \frac {1}{4} + \frac {1}{5} + \frac {1}{6}$$  
…  
Based on this pattern, the nth equation can be \_\_\_\_\_\_ .

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