
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
The sequence \( a_{n} \) is given as follows:

\[ a_{1} = 1, \quad a_{n+1} = a_{n} + \frac{2 a_{n}}{n}, \quad \text{for} \, n \geq 1. \text{ Find } a_{200} \]

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