
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 a sequence of complex numbers $\left\{a_{n}\right\}$ with the general term $a_{n} = (1+i) \left(1+\frac{i}{\sqrt{2}}\right) \left(1+\frac{i}{\sqrt{3}}\right) \cdots\left(1+\frac{i}{\sqrt{n}}\right)$, find the value of $\left|a_{n} - a_{n+1}\right|$.

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