
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
Murtha has now modified her pebble collection strategy. She collects two pebbles on the first day and then adds three pebbles each day in a linear progression. Additionally, from the second day onwards, she always adds an extra two pebbles than what the linear progression dictates. How many pebbles will she have collected after the fifteenth day?

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