
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 expansion of $(( \sqrt {x}- \frac {2}{x^{2}})^{n}(n∈N^{*}))$, where $n$ is a positive integer, the ratio of the coefficient of the fifth term to the coefficient of the third term is $10$.

1. Find the value of $n$ and the term with the maximum binomial coefficient in the expansion.
2. Find the term containing $x^{ \frac {3}{2}}$ in the expansion and the sum of all coefficients.

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