
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 with a nonzero common difference, denoted as $\{a_n\}$, where $S_n$ denotes the sum of the first n terms. It is known that $S_7 = 70$, and $a_1$, $a_2$, and $a_6$ form a geometric progression.

(Ⅰ) Find the general term formula of the sequence $\{a_n\}$;

(Ⅱ) Let $b_n = \frac{3}{2S_n + 4n}$, find the sum of the first n terms of the sequence $\{b_n\}$, denoted $T_n$.

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