
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 binomial $(2x+ \frac {1}{ \sqrt {x}})^n$ ($n\in\mathbb{N}^+$), the ratio of the binomial coefficients of the second and third terms in its expansion is 2:5. Complete the following tasks according to the requirements:  
(Ⅰ) Find the value of $n$;  
(Ⅱ) Find the term containing $x^3$ in the expansion;  
(Ⅲ) Calculate the value of $C_{6}^{0}2^{6}+C_{6}^{1}2^{5}+C_{6}^{2}2^{4}+C_{6}^{3}2^{3}+C_{6}^{4}2^{2}+C_{6}^{5}2^{1}+C_{6}^{6}2^{0}$.

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