
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 a non-zero common difference arithmetic sequence $\{a_{n}\}$, $a_{3} + a_{10} = 15$, and $a_{2}$, $a_{5}$, $a_{11}$ form a geometric sequence.
(I) Find the general term formula for $\{a_{n}\}$;
(II) Let $b_{n} = \frac{1}{a_{n}} + \frac{1}{a_{n+1}} + \ldots + \frac{1}{a_{2n-1}}$, compare the size of $b_{n+1}$ and $b_{n}$ and explain the reason.

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