
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
1. What is the next number in the sequence $17, 27, 47, 87, 167, ?$?
2. What is the next number in the sequence $1, 2, 3, 5, 8, 13, ?$?
3. What is the next number in the sequence $1, 3, 6, 10, 15, 21, ?$?
4. What is the next number in the sequence $7, 9, 11, 13, 15, ?$?
5. What is the next number in the sequence $2, 3, 5, 7, 11, 13, 17, ?$?

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