
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
Arithmetic sequences \( (c_n) \) and \( (d_n) \) have integer terms with \( c_1 = d_1 = 1 \) and \( c_2 \leq d_2 \). For some \( n \), the product \( c_n \cdot d_n = 1764 \). What is the largest possible value of \( n \)?
A) 2  
B) 41  
C) 43  
D) 1000  
E) 1764

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