
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
Anya is arranging pebbles in the sand. She first placed one pebble, then added pebbles to form a pentagon. Next, she created a larger external pentagon with pebbles, and after that another external pentagon, and so on, as shown in the picture. The numbers of pebbles she arranged in the first four pictures are: 1, 5, 12, and 22. If she continues to make such pictures, how many pebbles will there be in the 10th picture?

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