
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 that $(1+x)+(1+x)^{2}+(1+x)^{3}+...+(1+x)^{n}=a_{0}+a_{1}x+a_{2}x^{2}+...+a_{n}x^{n}$, and $a_{0}+a_{1}+a_{2}+...+a_{n}=126$, determine the constant term in the expansion of $(( \sqrt {x}- \frac {1}{ \sqrt {x}})^{n})$.

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