
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}\\)  
\\(\ldots\\)  
Based on this pattern, the \\(n\\)th equation can be written as \_\_\_\_\_\_.

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