
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
The sequence $\left\{ {{a}\_{n}} \right\}$ is defined as follows: ${{a}\_{1}}=1$ and ${{a}\_{n+1}}=\dfrac{2{{a}\_{n}}}{{{a}\_{n}}+2}$. Determine the general term formula for the sequence $\left\{ {{a}\_{n}} \right\}$, which is ${{a}\_{n}}=$ \_\_\_\_\_.

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