
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 arithmetic sequence {a<sub>n</sub>} and the geometric sequence {b<sub>n</sub>} satisfy a<sub>2</sub> = b<sub>3</sub> = 4, a<sub>6</sub> = b<sub>5</sub> = 16.
(Ⅰ) Find the general term formula for the sequence {a<sub>n</sub>}:
(Ⅱ) Find the sum: b<sub>1</sub> + b<sub>3</sub> + b<sub>5</sub> + … + b<sub>2n-1</sub>.

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