
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
Observe the following equations:
\[a\_1 + b\_1 = 1\],
\[a\_2 + b\_2 = 3\],
\[a\_3 + b\_3 = 5\],
\[a\_4 + b\_4 = 7\],
...

Then, \(a\_{11} + b\_{11} =\) \_\_\_\_\_\_.

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