
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 the arithmetic sequence {a<sub>n</sub>} has a common difference of d, where d is an integer, and the sum of its first n terms is S<sub>n</sub>. The geometric sequence {b<sub>n</sub>} has a common ratio of q. It is known that a<sub>1</sub> = b<sub>1</sub>, b<sub>2</sub> = 2, d = q, S<sub>10</sub> = 100, and n ∈ N*.

1. Find the general term formulas for the sequences {a<sub>n</sub>} and {b<sub>n</sub>}.
2. Let $$c_{n} = \frac{a_{n}}{b_{n}}$$, find the sum of the first n terms of the sequence {c<sub>n</sub>}, denoted as T<sub>n</sub>.

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