
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
Given the following equations:
$$\frac {3}{1\times 2}$$× $$\frac {1}{2}$$\=1- $$\frac {1}{2\times 2^{1}}$$;
$$\frac {3}{1\times 2}× \frac {1}{2}+ \frac {4}{2\times 3}× \frac {1}{2^{2}}=1- \frac {1}{3\times 2^{2}}$$;
$$\frac {3}{1\times 2}× \frac {1}{2}+ \frac {4}{2\times 3}× \frac {1}{2^{2}}+ \frac {5}{3\times 4}× \frac {1}{2^{3}}=1- \frac {1}{4\times 2^{3}}$$...
Derive a general conclusion:
For $n\in\mathbb{N}^*$, $$\frac {3}{1\times 2}× \frac {1}{2}+ \frac {4}{2\times 3}× \frac {1}{2^{2}}+…+ \frac {n+2}{n(n+1)}× \frac {1}{2^{n}}$$ equals to \_\_\_\_\_\_.

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