
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 a sequence $\{a_n\}$, where $a_1=2$, the sum of the first n terms is represented by $S_n$, and the points $P(a_n,a_n+1)(n∈N^∗)$ lie on the graph of the linear function $y=x+2$, determine the value of the expression: $\frac{1}{S_1}+\frac{1}{S_2}+\frac{1}{S_3}+…+\frac{1}{S_n}=$

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