
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
Given Jo and Blair take turns counting, with each number said by each person being two more than the last number said by the other person, determine the 30th number said, starting from 2 and including 20, and then from 23 incrementing by 3 instead of 2.

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