
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 two sequences {a_n} and {b_n} satisfying a_1= 1/2, a_n+b_n=1, and b_{n+1}= b_n/(1-a_n^2), determine the value of b_{2017}.

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