
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
Consider the infinite geometric series starting with $5$, where each subsequent term is $\frac{3}{4}$ times the previous, but with alternating signs: $5 - \frac{15}{4} + \frac{45}{16} - \dots$. What is the sum of this series?
A) $\frac{15}{5}$  
B) $\frac{20}{7}$  
C) $\frac{35}{8}$  
D) $\frac{45}{16}$

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