Complete the Sequence: Finding the Pattern in 480,280, 480,290, ...

Question

Complete the sequence:

480,280, 480,290,  480{,}280,\ 480{,}290, \ \ldots

Step-by-Step Solution

Let's proceed step-by-step to find the pattern in the sequence:

  • Step 1: Identify the sequence

    The sequence begins with 480,280480{,}280 and 480,290480{,}290.

  • Step 2: Determine the common difference

    Subtract the first term from the second term: 480,290480,280=10480{,}290 - 480{,}280 = 10. The common difference is 1010.

  • Step 3: Apply the common difference to find the next terms
    • Add 1010 to the second term: 480,290+10=480,300480{,}290 + 10 = 480{,}300.
    • Add 1010 to get the next term: 480,300+10=480,310480{,}300 + 10 = 480{,}310.
    • Add 1010 again: 480,310+10=480,320480{,}310 + 10 = 480{,}320.

Therefore, the next terms in the sequence are 480,300, 480,310, 480,320480{,}300,\ 480{,}310,\ 480{,}320.

This matches choice 4, given the specified answer options.

Thus, we conclude that the sequence continues with 480,300, 480,310, 480,320\textbf{480,300,\ 480,310,\ 480,320}.

Answer

480,300, 480,310, 480,320 480{,}300,\ 480{,}310,\ 480{,}320


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