
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 {a<sub>n</sub>} is an arithmetic sequence, {b<sub>n</sub>} is a geometric sequence, and b<sub>2</sub>\=2, b<sub>5</sub>\=16, a<sub>1</sub>\=2b<sub>1</sub>, a<sub>3</sub>\=b<sub>4</sub>.
(Ⅰ) Find the general term formula for {b<sub>n</sub>};
(Ⅱ) Let c<sub>n</sub>\=a<sub>n</sub>+b<sub>n</sub>, find the sum of the first n terms of the sequence {c<sub>n</sub>}.

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