
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 arithmetic sequence {a<sub>n</sub>} satisfies a<sub>1</sub>+a<sub>2</sub>\=6, a<sub>2</sub>+a<sub>3</sub>\=10.
(I) Find the general term formula of the sequence {a<sub>n</sub>};
(II) If sequence $$b_{n}=2^{a_{n+1}}$$, find the sum of the first n terms S<sub>n</sub> of the sequence {b<sub>n</sub>}.

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