
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 $n\in\mathbb{N}^{*}$, if $$C_{ n }^{ 1 }+2 C_{ n }^{ 2 }+2^{2} C_{ n }^{ 3 }+…+2^{n-2} C_{ n }^{ n-1 }+2^{n-1}=40$$, then $n= \_\_\_\_\_\_$.

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