
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
Petya wrote down a sequence of ten natural numbers as follows: he wrote the first two numbers randomly, and each subsequent number, starting from the third, was equal to the sum of the two preceding numbers. Find the fourth number if the seventh number is 42 and the ninth number is 110.

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