
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
Write down the general formula of a sequence $\{a_{n}\}$ that satisfies both of the following properties ① and ②: $a_{n}=\_\_\_\_\_\_.$<br/>①$a_{m-n}=a_{m}-a_{n}(m \gt n$,$m$,$n\in N^{*})$；<br/>②$\{a_{n}\}$ is monotonically increasing.

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