
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 sequences {a\_n} and {b\_n} that satisfy a\_1, a\_2, a\_3, ..., a\_n = 2^(b\_n) (n∈N*), if sequence {a\_n} is a geometric sequence, with a\_1 = 2 and a\_4 = 16, then the sum of the first n terms (S\_n) of the sequence {$\frac{1}{b\_n}$} is equal to \_\_\_\_\_\_.

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