
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
Let $S_n$ be the sum of the first $n$ terms of the sequence ${a_n}$, given that $a_1=2$ and for any $p, q \in \mathbb{N}^*$, $a_{p+q} = a_p + a_q$. Find the minimum value of $f(n) = \frac{S_n + 60}{n+1}, n \in \mathbb{N}^*$.

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