
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 the sequence ${a_n}$ with its first $n$ terms sum $S_n$ satisfying $S_n = An^2 + Bn$, and $a_1 = 2$, $a_2 = 5$.
1. Find the general formula for the terms of the sequence ${a_n}$;
2. Denote $b_n = \frac{1}{a_n \cdot a_{n+1}}$, find the sum of the first $n$ terms of the sequence ${b_n}$, denoted as $T_n$.

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