
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 sequence \\(\{a_n\}\) with the sum of its first \\(n\\) terms \\(S_n=4n-n^2\\).

\\((1)\\) Find the general formula for the sequence \\(\{a_n\}\).

\\((2)\\) Find the sum of the first \\(n\\) terms \\(T_n\\) of the sequence \\(\left\{ \frac{7-a_n}{2^n} \right\}\).

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