
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 that S<sub>n</sub> is the sum of the first n terms of the arithmetic sequence {a<sub>n</sub>}, and it is known that a<sub>3</sub> + S<sub>5</sub> = 18, a<sub>5</sub> = 7. If a<sub>3</sub>, a<sub>6</sub>, a<sub>m</sub> form a geometric sequence, then m = ___.

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