
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 $\{a_n\}$ with a common difference $d > 1$ and the sum of the first 10 terms $S_{10} = 100$, and a geometric sequence $\{b_n\}$ with a common ratio $q$ and $q = d$, if $b_1 = a_1$ and $b_2 = 2$, find:
(1) The explicit formulas for $a_n$ and $b_n$;
(2) If $c_n = \frac {a_{n}-2}{b_{n}}$, calculate the sum of the first $n$ terms of the sequence $\{c_n\}$, denoted as $T_n$.

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