
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 positive integer $p(p\\geqslant 2)$, a sequence ${a\_n}$ satisfies: $a\_1=1$, $(k+1)a_{k+1}=p(k-p)a\_k$, where $k=1$, $2$, $3$, $…$, $p-1$.
(I) When $p=4$, find $a\_2$, $a\_3$, $a\_4$;
(II) Find $a\_1+a\_2+a\_3+…+a\_p$.

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