
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
If in the expansion of $\left(x-1\right)^{n}$, only the binomial coefficient of the $10$th term is the largest,
(1) Find the term with the largest coefficient in the expansion;
(2) Let $\left(2x-1\right)^{n}=a_{0}+a_{1}x+a_{2}x^{2}+\ldots +a_{n}x^{n}$, find $a_{0}+a_{2}+a_{4}+\ldots +a_{n}$.

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