
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 non-zero common difference, ${a_1=25}$, and ${a_1}, {a_{11}}, {a_{13}}$ form a geometric sequence.

(I) Find the general term formula for $\{{a_n}\}$;
(II) Find the sum of ${a_1}+{a_4}+{a_7}+ \cdots + {a_{3n-2}}$.

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