
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
For a sequence where \(x_{k+1} = x_k + \frac{1}{3}\) for \(k=1, 2, \dots, n-1\) and \(x_1=\frac{1}{3}\), find the sum of the first \(n\) terms \(x_1 + x_2 + \dots + x_n\).

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