
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:  
$$\frac {3}{1\times 2} \times \frac {1}{2} = 1 - \frac {1}{2^{2}}$$,  
$$\frac {3}{1\times 2} \times \frac {1}{2} + \frac {4}{2\times 3} \times \frac {1}{2^{2}} = 1 - \frac {1}{3\times 2^{2}}$$,  
$$\frac {3}{1\times 2} \times \frac {1}{2} + \frac {4}{2\times 3} \times \frac {1}{2^{2}} + \frac {5}{3\times 4} \times \frac {1}{2^{3}} = 1 - \frac {1}{4\times 2^{3}}$$,  
…,  
From the above equations, we get $$\frac {3}{1\times 2} \times \frac {1}{2} + \frac {4}{2\times 3} \times \frac {1}{2^{2}} +…+ \frac {7}{5\times 6} \times \frac {1}{2^{5}}$$ = \_\_\_\_\_\_ .

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