
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
Let S<sub>n</sub> be the sum of the first n terms of the arithmetic sequence {a<sub>n</sub>}. Given that a<sub>1</sub> + a<sub>13</sub> = 26 and S<sub>9</sub> = 81:

1. Find the general term formula for {a<sub>n</sub>}.
2. Let $$b_{n}= \frac {1}{a_{n+1}a_{n+2}}$$, T<sub>n</sub> = b<sub>1</sub> + b<sub>2</sub> + … + b<sub>n</sub>. If 30T<sub>n</sub> - m ≤ 0 holds true for all n ∈ N*, find the minimum value of the real number m.

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