Complete the Number Sequence: Finding Missing Terms Around 3001

To solve this problem, we need to determine the numbers directly before and after 3001 in a consecutive integer series.

Let's follow these steps:

• Step 1: Find the predecessor of 3001.
• Step 2: Find the successor of 3001.

Step 1: To find the predecessor, we subtract 1 from 3001:

$3001 - 1 = 3000$

Step 2: To find the successor, we add 1 to 3001:

$3001 + 1 = 3002$

Therefore, the missing numbers that precede and succeed 3001 consecutively are $3000$ and $3002$, respectively.

The correct answer is choice 1: $3000, 3002$.