Determine the Rule: Continuing the Arithmetic Sequence 200,000, 210,000, ...

Complete the sequence:

$200{,}000,\ 210{,}000, \ \ldots$

To solve this sequence problem, we'll follow these steps:

• Step 1: Identify the difference between the given terms.
• Step 2: Use this difference to calculate subsequent terms.

Now, let's proceed with these steps:
Step 1: The given terms are 200,000 and 210,000. The difference between these terms is $210,000 - 200,000 = 10,000$.

Step 2: Assuming this sequence follows an arithmetic pattern, the common difference is $10,000$. Therefore, each subsequent number is the previous number plus $10,000$.

Let's find the next few terms:

• The term after 210,000 is $210,000 + 10,000 = 220,000$.
• The subsequent term is $220,000 + 10,000 = 230,000$.
• The next term is $230,000 + 10,000 = 240,000$.

Therefore, the complete sequence is $200,000, 210,000, 220,000, 230,000, 240,000$.

The correct answer choice is: $220,000, 230,000, 240,000$, which matches option 3.