
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 a sequence {a<sub>n</sub>} where all terms are positive, the sum of the first n terms is S<sub>n</sub>, and for any n ∈ N*, a<sub>n+1</sub> + S<sub>n+1</sub> = 1, with a<sub>1</sub> = $$\frac {1}{2}$$.
(Ⅰ) Find the general formula for the sequence {a<sub>n</sub>}.
(Ⅱ) Let b<sub>n</sub> = log<sub>2</sub>a<sub>n</sub>, find the sum of $$\frac {1}{b_{1}b_{2}}$$ + $$\frac {1}{b_{2}b_{3}}$$ + ... + $$\frac {1}{b_{n}b_{n+1}}$$ (n ∈ N*).

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