
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
Jo and Blair take turns counting, starting with Jo who says "3". Each subsequent number said by either Jo or Blair is two more than the last number said by the other person. What is the $100^{\text{th}}$ number said?

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