
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
In the arithmetic sequence ${a_{n}}$, the common difference $d \neq 0$, $a_{1}=1$, and $a_{1}$, $a_{2}$, $a_{5}$ form a geometric sequence.
(1) Find the general term formula of the sequence ${a_{n}}$;
(2) If $b_{n}= \frac{a_{n}}{3^{n}}$, find the sum of the first $n$ terms $T_{n}$ of the sequence ${b_{n}}$.

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