
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 a sequence of hexagonal layers beginning with a central dot. Each new hexagon is created by adding additional bands of dots surrounding the previous hexagon. The first hexagon contains 1 central dot. The second hexagon contains 7 total dots, and the third hexagon contains 19 total dots. Suppose the sequence continues but now, beginning from the fourth hexagon, each new layer of dots is formed not only by adding 6 more dots than the previous layer but by doubling the number of dots added two layers ago. How many dots are there in the fourth and fifth hexagons combined?
A) 115
B) 128
C) 138
D) 150
E) 165

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