
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 decided to start a pebble collection. She collects one pebble on the first day and doubles her collection amount every alternate day. Every other day, she collects one more pebble than the previous day. Calculate the total number of pebbles she will have collected at the end of the fifteenth day.

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