Complete the Sequence: Finding Next Terms After 5,000, 5,100, 5,200

To solve this problem, we need to determine the pattern in the sequence:

• Step 1: Identify the pattern by finding the difference between the terms 5000 and 5100.
• Step 2: Confirm that this difference is consistent between 5100 and 5200.
• Step 3: Extend the sequence by the same difference to find the next three terms.

Now, let's find the solution:

Step 1: The difference between 5100 and 5000 is $5100 - 5000 = 100$.
Step 2: Similarly, the difference between 5200 and 5100 is $5200 - 5100 = 100$.
This confirms that the sequence is increasing by 100.

Step 3: To find the next three terms, we continue adding 100:

• The term after 5200 is $5200 + 100 = 5300$.
• The next term is $5300 + 100 = 5400$.
• Finally, the next term is $5400 + 100 = 5500$.

Therefore, the next three numbers in the sequence are $5300, 5400, 5500$.