
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
The Fibonacci sequence defined by \( F_1 = 1 \), \( F_2 = 1 \), and \( F_n = F_{n-1} + F_{n-2} \) for \( n \geq 3 \) has a property that the units digit of its terms eventually cycles. What is the length of this cycle for the units digits? Determine and verify this cycle by finding which of the ten digits from 0-9 is the last to appear.
A) 20
B) 40
C) 60
D) 80

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