
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 that the arithmetic sequence $\left\{a_{n}\right\}$ and positive integer $m (m \geqslant 3)$ satisfy: $a_{1}=1$, $a_{m}=2$, and $\frac{1}{a_{1} a_{2}}+\frac{1}{a_{2} a_{3}}+\cdots+\frac{1}{a_{m-1} a_{m}}=3$, find the sum $a_{1}+a_{2}+\cdots+a_{m}$.

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