
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]


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In ancient Egyptian mathematics, a unique phenomenon was discovered: except for $\frac {2}{3}$ which is represented by a single symbol, other fractions are written as the sum of several unit fractions. For example, $\frac {2}{5}= \frac {1}{3}+ \frac {1}{15}$. This can be understood as follows: suppose there are two loaves of bread to be evenly distributed among 5 people. If each person gets $\frac {1}{2}$, it's not enough. If each person gets $\frac {1}{3}$, there is a remainder of $\frac {1}{3}$. If this $\frac {1}{3}$ is then divided into 5 parts, each person gets $\frac {1}{15}$. Thus, each person gets $\frac {1}{3}$+ $\frac {1}{15}$. The decomposition of fractions in the form of $\frac {2}{2n+1}$ (n=2, 3, 4, …) is as follows:

$$\frac {2}{5}= \frac {1}{3}+ \frac {1}{15}$$, $$\frac {2}{7}= \frac {1}{4}+ \frac {1}{28}$$, $$\frac {2}{9}= \frac {1}{5}+ \frac {1}{45}$$, according to this rule, $$\frac {2}{2n+1}$$ is ________ (n=2, 3, 4, …).

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