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

Question

Complete the sequence:

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

Step-by-Step Solution

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 1009 + 1 = 1010 .
Step 3: Similarly, we calculate the next numbers: 1010+1=1011 1010 + 1 = 1011 and 1011+1=1012 1011 + 1 = 1012 .

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

Answer

1,010, 1,011, 1,012 1{,}010,\ 1{,}011,\ 1{,}012


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