
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 the sequence ${a_n}$, where $a_1=1$, and $P(a_n,a_{n+1})(n∈N^{+})$ is on the line $x-y+1=0$. If the function $f(n)= \frac {1}{n+a_{1}}+ \frac {1}{n+a_{2}}+ \frac {1}{n+a_{3}}+…+ \frac {1}{n+a_{n}}(n∈N^{\*})$, and $n\geqslant 2$, find the minimum value of the function $f(n)$.

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