
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}, where a_2 = 8 and the sum of the first 10 terms S_10 = 185.
(1) Find the general term formula of the sequence {a_n}.
(2) If we take out the 2nd, 4th, 8th, ..., 2^n, ... terms from the sequence {a_n} and arrange them in their original order to form a new sequence, find the sum of the first n terms of this new sequence, denoted as A_n.

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