
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
In Anna's pattern, displayed below, the smallest circle has a radius of 3 inches, and each subsequent circle has its radius increased by an alternating sequence of 3 inches and 1 inch lengths, respectively. Determine the approximate percentage of the pattern that is colored black. The pattern has 7 circles and alternates starting with a black smallest circle.
[asy] real d=320; pair O=origin; pair P=O+10*dir(d); pair A0 = origin; pair A1 = O+3*dir(d); pair A2 = O+4*dir(d); pair A3 = O+7*dir(d); pair A4 = O+8*dir(d); pair A5 = O+11*dir(d); pair A6 = O+12*dir(d); filldraw(Circle(A0, 12), black, black); filldraw(circle(A1, 11), white, black); filldraw(circle(A2, 7), black, black); filldraw(circle(A3, 4), white, black); filldraw(circle(A4, 2), black, black); filldraw(circle(A5, 1), white, black); filldraw(circle(A6, 1), black, black); [/asy]
A) 32%
B) 34%
C) 36%
D) 38%
E) 40%

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