
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
If $a$ is a rational number other than $1$, we call $\dfrac{1}{1-a}$ the reciprocal difference of $a$. For example, the reciprocal difference of $2$ is $\dfrac{1}{1-2}=-1$, and the reciprocal difference of $-1$ is $\dfrac{1}{1-(-1)}= \dfrac{1}{2}$. Given that $a_{1}=- \dfrac{1}{3}$, $a_{2}$ is the reciprocal difference of $a_{1}$, $a_{3}$ is the reciprocal difference of $a_{2}$, $a_{4}$ is the reciprocal difference of $a_{3}$, and so on.  
(1) Calculate the values of $a_{2}$, $a_{3}$, and $a_{4}$;  
(2) Calculate the value of $a_{1}+a_{2}+a_{3}+…+a_{3600}$.

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