
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 $a_{1}$, $a_{2}-a_{1}$, $a_{3}-a_{2}$, $\ldots$, $a_{n}-a_{n-1}$, $\ldots$ is an arithmetic sequence with the first term being $1$ and the common difference being $1$, find the general formula for the sequence $\{a_{n}\}$, $a_{n}=$ ______.

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