Complete the Sequence: Finding the Pattern in 305,501, 305,500, ...

Question

Complete the sequence:

305,501, 305,500,  305{,}501,\ 305{,}500, \ \ldots

Step-by-Step Solution

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

  • Step 1: Identify the difference between the first two numbers:
    305,501305,500=1 305{,}501 - 305{,}500 = 1 .
  • Step 2: Since the numbers decrease by 1 from one term to the next, apply this pattern to determine the next numbers:
  • Step 3: Calculate the next three numbers:
    • The third number: 305,5001=305,499 305{,}500 - 1 = 305{,}499
    • The fourth number: 305,4991=305,498 305{,}499 - 1 = 305{,}498
    • The fifth number: 305,4981=305,497 305{,}498 - 1 = 305{,}497

Therefore, the next three numbers in the sequence are 305,499,305,498,305,497 305{,}499, 305{,}498, 305{,}497 .

Answer

305,499, 305,498, 305,497 305{,}499,\ 305{,}498, \ 305{,}497


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