
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 nonzero common difference, where $a_1 = 1$, and $a_2, a_5, a_{14}$ form a geometric sequence.

(1) Find the general formula for the term $a_n$ of the sequence ${a_n}$;
(2) Let $b_n = 2^n \cdot a_n$, find the sum of the first $n$ terms $S_n$ of the sequence ${b_n}$.

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