
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 an arithmetic sequence $\\{a_{n}\\}$, let $S_{n}$ denote the sum of its first $n$ terms. If $a_{5}=10$ and $S_{7}=56$,

1. Find the general term formula for the sequence $\\{a_{n}\\}$.
2. If $b_{n}=a_{1}+3^{a_{n}}$, find the sum $T_{n}$ of the first $n$ terms of the sequence $\\{b_{n}\\}$.

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