
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
In ancient Egypt, the following interesting equations were discovered: $$\frac{2}{3}= \frac{1}{2}+ \frac{1}{6}$$, $$\frac{2}{5}= \frac{1}{3}+ \frac{1}{15}$$, $$\frac{2}{7}= \frac{1}{4}+ \frac{1}{28}$$, $$\frac{2}{9}= \frac{1}{5}+ \frac{1}{45}$$, …, according to this pattern, $$\frac{2}{2n+1}=$$ \_\_\_\_\_(n∈N*)．

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