
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 the sequence {a<sub>n</sub>} is an arithmetic sequence, and it satisfies: a<sub>1</sub>+a<sub>2</sub>+a<sub>3</sub>=6, a<sub>5</sub>=5. The sequence {b<sub>n</sub>} satisfies: b<sub>n</sub>=a<sub>n</sub>+2$^{a_{n}}$ (n∈N<sup>+</sup>).
(1) Find a<sub>n</sub>;
(2) Find the sum of the first n terms of the sequence {b<sub>n</sub>}, T<sub>n</sub>.

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