
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
Calculate the sum of the infinite series: $\frac{1}{5} + \frac{2}{5^2} + \frac{3}{5^3} + \dots$, where each term is given by $\frac{n}{5^n}$.
**A)** $\frac{4}{25}$
**B)** $\frac{5}{16}$
**C)** $\frac{1}{8}$
**D)** $\frac{7}{32}$

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