
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
a) Find the largest term in the sequence \( a_{n} = \frac{n}{n^{2} + 2020} \).

b) Find the largest term in the sequence \( a_{n} = \frac{2020^{n}}{n!} \) (where \( n! = 1 \cdot 2 \cdot 3 \cdots n \)).

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