Identify the Common Difference: Complete the Sequence of 3,000, 3,010, 3,020, ...

To solve this problem, we will identify the progression pattern in the given sequence of numbers:

• Step 1: Examine the initial terms of the sequence 3,000, 3,010, 3,020.

Observe the difference between these terms:

• $3,010 - 3,000 = 10$
• $3,020 - 3,010 = 10$

The difference between consecutive terms is consistently 10. This indicates that the sequence increases by 10 with each new term.

Since the sequence is arithmetic and each term increases by 10, let's calculate the next few terms by adding 10 to the last given number, $3,020$:

• Next term: $3,020 + 10 = 3,030$
• Following term: $3,030 + 10 = 3,040$
• Final term required: $3,040 + 10 = 3,050$

Thus, the next three numbers in the sequence are $3,030$, $3,040$, and $3,050$.

The choice that matches this sequence completion is option 2: $3,030,\ 3,040,\ 3,050$.