
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-\\dfrac{1}{2}=\\dfrac{1}{2}\\),

   \\(1-\\dfrac{1}{2}+\\dfrac{1}{3}-\\dfrac{1}{4}=\\dfrac{1}{3}+\\dfrac{1}{4}\\),

   \\(1-\\dfrac{1}{2}+\\dfrac{1}{3}-\\dfrac{1}{4}+\\dfrac{1}{5}-\\dfrac{1}{6}=\\dfrac{1}{4}+\\dfrac{1}{5}+\\dfrac{1}{6}\\),

    \\(........\\),

According to this pattern, the nth equation can be \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_.

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