Complete the Sequence: Finding Numbers After 107, 108, 109

Question

Complete the sequence:

107,108,109, 107,108,109,\ldots

Step-by-Step Solution

To solve this problem, we'll identify that we are dealing with an arithmetic sequence where each term increases by 1.

  • Step 1: Identify the pattern in the sequence.
  • Step 2: Note that the difference between consecutive terms is 1.
  • Step 3: Extend the sequence from the last given term.

Now, let's work through these steps:

Step 1: The sequence starts at 107,108,109 107, 108, 109 . The difference is clearly 1, as each number is 1 more than its predecessor.

Step 2: The rule for this sequence is to take the last number and add 1 to generate the next number. We continue the pattern.

Step 3: Continuing from 109:

  • 109 + 1 = 110
  • 110 + 1 = 111
  • 111 + 1 = 112
  • 112 + 1 = 113

Therefore, the next numbers in the sequence are 110,111,112,113 110, 111, 112, 113 .

Hence, the correct answer choice is the one with the sequence 110,111,112,113 110, 111, 112, 113 .

Answer

110,111,112,113 110,111,112,113