
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
Consider the sequences $2, 5, 8, \ldots$ and $10, 18, 26, \ldots$. Define the set $T$ as the union of the first $3000$ terms of each sequence. Determine how many distinct numbers are in $T$?
A) 3000
B) 3500
C) 5400
D) 6000

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