
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 first term $a_{1}=1$, common difference $d > 0$, and $a_{2}$, $a_{5}$, $a_{14}$ forming a geometric sequence.

(I) Find the general term formula for the sequence $\{a_{n}\}$;

(II) Let $b_{n}= \frac {1}{a_{n} \cdot a_{n+1}}+a_{n}$, find the sum of the first $n$ terms $S_{n}$ for the sequence $\{b_{n}\}$.

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