
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 numbers where each person says a number that is twice the last number said by the other person, plus one. Jo starts with $1$, so Blair follows by saying $3$ (since $2\times1 + 1 = 3$). Jo then says $7$, and so on. What is the $10^{\text{th}}$ number said?
**A)** 255
**B)** 511
**C)** 1023
**D)** 2047
**E)** 4095

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