
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
Evaluate the sum of the infinite series \( 2 + 4\left(\dfrac{1}{2023}\right)(1+\frac{1}{1}) + 6\left(\dfrac{1}{2023}\right)^2(1+\frac{1}{2}) + 8\left(\dfrac{1}{2023}\right)^3(1+\frac{1}{3}) + \dots \).

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