Complete the Sequence: Finding Numbers After 1007, 1008, 1009

Complete the sequence:

$1{,}007,\ 1{,}008,\ 1{,}009, \ \ldots$

To solve this problem, we'll identify the pattern in the sequence:

• Step 1: Identify the order and pattern of the sequence
• Step 2: Follow the arithmetic pattern of adding the same number to the last term to find the next numbers
• Step 3: List the next terms in the sequence

Now, let's work through each step:

Step 1: The sequence given is 1007, 1008, 1009. We observe that each number is 1 more than the previous one.
Step 2: Continuing this pattern, the next number after 1009 is $1009 + 1 = 1010$.
Step 3: Similarly, we calculate the next numbers: $1010 + 1 = 1011$ and $1011 + 1 = 1012$.

Therefore, the sequence can be completed as: $1010, 1011, 1012$.