Complete the Sequence: Finding the Pattern from 200,000 to 201,001

Question

Complete the sequence:

200,000, 201,001,  200{,}000,\ 201{,}001, \ \ldots

Step-by-Step Solution

To solve this problem, follow these steps:

  • Step 1: Identify the pattern in the given sequence. The sequence starts at 200,000 and then 201,001. To find the pattern, we look at the difference between these two terms.
  • Step 2: Calculate the difference between 201,001 and 200,000. The difference is 201,001200,000=1,001 201,001 - 200,000 = 1,001 .
  • Step 3: Confirm if the pattern continues with a constant difference by checking the next term. Since we're identifying a regular sequence, it's logical here to see if it proceeds similarly.
  • Step 4: Use the identified difference of 1,001 to find the next term after 201,001 by adding the common difference. However, this shows a misunderstanding based on re-check of problem type; normally each number would progress similarly, confirm simple mistake not made leading correct sequence suggestion.
  • Step 5: Recognize correcting issue in noticing empirical shown sequence need consistency: adding by 1 instead smaller regular addition than expected from less standard input. After reevaluating initial understanding: progression finds next few regular consecutive integers since no harder deviation.

As a result, the sequence is completed as follows:

  • Next term after 201,001 is: 200,002 200,002
  • Following term: 200,003 200,003
  • Subsequent term: 200,004 200,004

Therefore, the completed sequence is 200,002, 200,003, 200,004 200,002,\ 200,003, \ 200,004 .

Answer

200,002, 200,003, 200,004 200{,}002,\ 200{,}003, \ 200{,}004


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