
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<sub>n</sub>} with the sum of the first n terms as S<sub>n</sub>, a<sub>1</sub> = -11, a<sub>5</sub> + a<sub>6</sub> = -4, find the value of n for which S<sub>n</sub> is minimized.

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